Square 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, √9 = 3 because 3 x 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 x 3 x 3 = 27.

Front

What is the square root of 16?

Back

4

Front

What is the cube root of 64?

Back

4

Front

What is the value of √20?

Back

Approximately 4.47, which is between 4 and 5.

Front

If x = (3/4)², what is x?

Back

x = 9/16

Front

What is the value of -∛8?

Back

-2

Front

If x³ = -27, what is x?

Back

x = -3

Front

What is the relationship between square roots and perfect squares?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, and 16 are perfect squares.

Front

How do you estimate the square root of a non-perfect square?

Back

Find the two perfect squares it lies between. For example, √20 is between √16 (4) and √25 (5).