canh square roots be rational numbers ?

Answers

Answer 1
When the square root of a number is a whole number, this number is called a perfect square. ... Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent
Answer 2
Very good question, i’ll try to answer this as best as I can so here we go hope you enjoy

All rational numbers have the fraction form
,
a
b
,
where a and b are integers(≠0
b

0
).

My question is: for what
a
and
b
does the fraction have rational square root? The simple answer would be when both are perfect squares, but if two perfect squares are multiplied by a common integer
n
, the result may not be two perfect squares. Like:
49→818
4
9

8
18

And intuitively, without factoring, =8
a
=
8
and =18
b
=
18
must qualify by some standard to have a rational square root.

Once this is solved, can this be extended to any degree of roots? Like for what
a
and
b
does the fraction have rational
n
th root?

Have a blessed day God bless.

Related Questions

Type the missing number in this sequence:
16, 7, __, -11, -20​

Answers

-2

The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9

therefore 7-9 is -2

Hope this helped you- have a good day bro cya)

-2. 7-9= -2. Hope this helps

help dududidihendhhejrjfjf

Answers

Answer:

x = − 8

Step-by-step explanation:

Factor then solve to find the complex solutions.

Hi, I need help with homework on review for test.

Answers

Answer:

-24+48i

Step-by-step explanation:

yan po ata sagot

When do we use 180 or 360 to solve interior or exterior angles

Answers

Answer:

when it is alternate

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

when it iş alternate

PLS HELO THANK YOUUUUU

Answers

Answer:

divide 500 by 125.

You get 4x = 568

Answer is 142

Happy Learning

Answer:

142

Step-by-step explanation:

Which side in the figure on the right corresponds to segment QS?
What is the scale factor?


See the picture

Please help

Answers

Since it was rotated the corresponding side is segment UV.

QS = 4 = original
UV = 2 = new
Scale factor = new/original = 2/4 = 0.5

How u do this djiejejeoeowoekrkk

Answers

its 7350, do long division lol

try to determine which set of digits ends product three consecutive natural numbers?​

Answers

Answer:

0, 4, 6

Step-by-step explanation:

1 * 2 * 3 = 6

2 * 3 * 4 = 24

3 * 4 * 5 = 60

4 * 5 * 6 = 120

5 * 6 * 7 = 210

6 * 7 * 8 = 336

7 * 8 * 9 = 504

etc.

Answer: 0, 4, 6

Write the sides of GHI in order from shortest to longest

Answers

Answer:

IH, GH, IG

Step-by-step explanation:

We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.

The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.

The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.

The side in-between these two is side GH, which is opposite to the 60 degree angle.

find the value of x and y

Answers

Answer:

x = 8, y = 27

Step-by-step explanation:

Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other.  The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.

Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.

(2y + 24) + (3y + 21) = 180

That's the same as 2y + 24 + 3y + 21 = 180

Simplify to 5y + 45 = 180

Subtract 45 from both sides

5y = 135

y = 27

(16x - 26) + (9x + 6) = 180

16x - 26 + 9x + 6 = 180

25x - 20 = 180

25x = 200

x = 8

Caleb wants to rent a kayak. Kayak rentals cost $70.58  for a half hour. If Caleb rents a kayak for 5.0 hours, how much will it cost him?

Answers

Answer:[tex]{ \times 2 + \times - 20} \div { \times - 4[/tex]

Step-by-step explanation:

divide each of the following: using the two methods

1/2(x+24)=21 (distributive property) thanks

Answers

Answer:

x=18

Step-by-step explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18[/tex]

»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  


Which table represents exponential growth?

Answers

Answer:

B.

Step-by-step explanation:

Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.

Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.

Answers

Answer:

3 1/8

Step-by-step explanation:

3 3/4 and 1/6 percent of the water evaporated

3 3/4 as a inproper fraction 15/4  

15/4  * 1/6= 15/24 = 5/8

so we have to subtract 5/8 from 15/ 4

15/4*2/2= 30/8

30/8-5/8= 25/8

Answer:

3 1/8

Step-by-step explanation:

Express the fraction 2/3, 3/4,5/6

Answers

Answer:

The required fractions for 2/3, 3/4, and 5/6 with a denominator of 12 are 8/12, 9/12, and 10/12 

Answer:

8/12, 9/12, and 10/12

Step-by-step explanation:

The next model of a sports car will be 12.6% less than the current model. The current model is 32,000. How much will the price decrease? How much will the next model be?

Answers

The next model will cost $27968.

100% - 12.6% = 87.4%

12.6% x 32000 = 4032

32000 - 4032 = 27968


pls mark me as brainliest!

The manager of the school bookstore ordered 180 boxes of pencils. Based on the average daily use, she knows that the pencils will last about 30 days. Which linear equation represents the situation?

How many boxes of pencils should the manager expect to have after 20 days?

A. y = - 6x + 180; 120 boxes

B. y = - 6x + 180; 60 boxes

C. y = 6x + 180; 120 boxes

D. y = 6x - 180; 60 boxes

Will give 26 points!!​

Answers

The answer should be A

Which equation matches the table
x 0 1 2 3 4 5
y 5 6 7 8 9

Answers

Answer:

5 equation matches the table

A glass block window is made of two different-sized glass squares. The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches. Find the total area of the small glass squares?

Answers

Given,

A glass block window is made of two different-sized glass squares.

The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches.

40 × 10 = 400

find the product what is 9.874×7= ? ​

Answers

the answer is 69.118 !

I am a 4digit numbe the sum of my middle two digit is 6 remove my middle two digit and Iwill become95. The digit inthe hundred place is 9less than the digit in the thousand place What number am I

Answers

Answer:

9065

Step-by-step explanation:

A Four digit Number

sum of A+B=6

Hundreds Place is 9 lesser than thousand Place

2 Middle Number remove = 95

Thousand= 9

Hundreds = 0

Tens=6

Ones=5

Answer:

here you go

Step-by-step explanation:

0+6 = 6

remove two middle numbers i become 95 which means the two outer numbers are 9 and 5

answer is 9065

PLEASE HELP

If 87 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $3.25 and

total receipts for the concert was $291.75, how many of each went to the concert?

Answers

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

-----------------------------------------------------------------------------------------------------------------

-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

----------------------------------------------------------------------------------------------------------------

Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

Write the point slope form of the equation with the given characteristics:
Slope = 1/2; x intercept = 3

Answers

Answer:

point-slope form: y - 0 = ½(x - 3)    

Step-by-step explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ←  This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2  (this is the slope-intercept form).

Im not sure what method is best used to solve these types of inequalities.

Answers

Answer:

There is no specific method you can solve it as you like

Step-by-step explanation:

you can do it as a normal equation first get rid of the (x-9) by multiplying the whole radical by x-9/x-9, then you will get rid of the x-9 down and you will have (x-9) . (x+6) . (x-1) [tex]\leq[/tex] 0 then multiply them together and solve it normally. Also dont forget to do the check part :)

If you need further help comment down :)

Answer:

I would say solve for the x value

Step-by-step explanation:

Factorise fully
8+4g

Answers

Answer:

4(2+g)

Step-by-step explanation:

8+4g

Rewriting

4*2 + 4*g

Factor out the 4

4(2+g)

Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place


Answers

Step-by-step explanation:

the area =

[½(8+2)×4] + [½×3.14×1²]

= 20 + 1.57

= 21.57

= 21.6

In Bobby's grade, 679 students are enrolled in health and 21 students are not. What percentage of the students in the school are enrolled in health? Write your answer using a percent sign (%).​

Answers

97.07%

Step-by-step explanation:

total number of students is

696+21=717

696/717×100=97.07

answer is 97.07%

What is the solution to the equation 3 − 5 + 10 = 36

Answers

Answer:

False (no solution)

Step-by-step explanation:

What is the solution to the equation 3 − 5 + 10 = 36?

3 − 5 + 10 = 36

8 = 36

it's false

NEDDDD ASAPPPPP!!!!!!!!!

Answers

Answer:

9

Step-by-step explanation:

4y + 6y = 90

10y =90

y = 90÷10

y = 9

what is the value of 17-2(5-3)

Answers

Answer:

13

Step-by-step explanation:

17-10+6

7+6=13

hope it helps

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