Simplifying Square 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 × 3 = 9.

Front

What is the square root of 169?

Back

√169 = 13.

Front

Which statement is NOT true? √169 = 13, 15² = 225, 4² = √16, √324 = 18?

Back

4² = √16 is NOT true; 4² = 16.

Front

Simplify √45.

Back

√45 = 3√5.

Front

How do you simplify √40?

Back

√40 = 2√10.

Front

What is the simplified form of √300?

Back

√300 = 10√3.

Front

What is the simplified form of √125?

Back

√125 = 5√5.

Front

What is the prime factorization of 45?

Back

45 = 3² × 5.

Front

How do you simplify square roots with prime factors?

Back

To simplify, factor the number into its prime factors, pair them, and take one from each pair out of the square root.

Front

What is the square root of 324?

Back

√324 = 18.