Square Roots and Cube Roots

Front

What is a square root?

Back

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 x 4 = 16.

Front

What is a cube root?

Back

A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

Front

What is the square root of 144?

Back

12

Front

What is the square root of 25?

Back

5

Front

Which of the following is a perfect square: 20, 25, 30, 35?

Back

25 is a perfect square because it is 5 x 5.

Front

How do you estimate the side length of a square given its area?

Back

To estimate the side length, find the square root of the area. For example, if the area is 225, the side length is approximately 15, since 15 x 15 = 225.

Front

What is the cube root of 64?

Back

4, because 4 x 4 x 4 = 64.

Front

What is the relationship between squares and square roots?

Back

The square root undoes the squaring process. If x^2 = a, then the square root of a is x.

Front

What is the relationship between cubes and cube roots?

Back

The cube root undoes the cubing process. If x^3 = a, then the cube root of a is x.

Front

List the first five perfect squares.

Back

0, 1, 4, 9, 16.