Question

Are the following numbers perfect squares? Give the square roots of the numbers that are perfect squares.

a. 100 b. 127 c. 81 d. 144

Answer 1

Answer: Choices a, c and d are perfect squares.

Step-by-step explanation: The definition of a perfect is square is number multiplied by itself. In choice a, 100 equals 10 x 10. Choice c is the perfect square of 9. 81 = 9 x 9. Choice d is the perfect square of 12, because 12 x 12 = 144.

Answer 2

Hello!

The answers are:

a. 100 , it's a perfect square. Square root = 10

b. 127, it's not a perfect square.

c. 81, it's a perfect square. Square root = 9

d. 144, it's a perfect square. Square root = 12

Why?

The square of a number, is the number that give the original result multiplied by itself. The perfect squares are only the square of whole numbers, so, if it's possible, let's find the square roots of each given number:

a. 100

`√(100)=10`

It's a perfect square since the square root is a whole number.

b. 127

`√(127)=11.27`

It's not a perfect square since the square root is not a whole number.

c. 81

`√(81)=9`

It's a perfect square since the square root is a whole number.

d. 144

`√(144)=12`

It's a perfect square since the square root is a whole number.

Have a nice day!