Estimating 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 9 is 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, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

Front

Estimate the square root of 8. Which two whole numbers does it fall between?

Back

The square root of 8 falls between 2 and 3.

Front

Estimate the square root of 15. Which two whole numbers does it fall between?

Back

The square root of 15 falls between 3 and 4.

Front

Estimate the square root of 50. Which two whole numbers does it fall between?

Back

The square root of 50 falls between 7 and 8.

Front

Estimate the square root of 20. Which two whole numbers does it fall between?

Back

The square root of 20 falls between 4 and 5.

Front

Estimate the cube root of 64. Which two whole numbers does it fall between?

Back

The cube root of 64 is exactly 4.

Front

Estimate the cube root of 27. Which two whole numbers does it fall between?

Back

The cube root of 27 is exactly 3.

Front

What is the relationship between square roots and perfect squares?

Back

A perfect square is a number that has an integer as its square root. For example, 16 is a perfect square because its square root is 4.

Front

What is the relationship between cube roots and perfect cubes?

Back

A perfect cube is a number that has an integer as its cube root. For example, 8 is a perfect cube because its cube root is 2.