Square Roots, Cube Roots, and Square Root Estimation

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, √9 = 3 because 3 × 3 = 9.

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, ∛27 = 3 because 3 × 3 × 3 = 27.

Front

Between which two whole numbers does √22 fall?

Back

4 and 5

Front

Between what two integers is the square root of 44?

Back

6 and 7

Front

What is the square root of 16?

Back

4

Front

What is the square root of 25?

Back

5

Front

What is the cube root of 64?

Back

4

Front

What is the cube root of 8?

Back

2

Front

What is the cube root of 27?

Back

3

Front

How do you estimate the square root of a number?

Back

To estimate the square root, find two perfect squares between which the number lies. For example, to estimate √50, note that 7² = 49 and 8² = 64, so √50 is between 7 and 8.