Simplifying Square Roots

Front

What is a square root?

Back

A square root of a number x is a number y such that y² = x. For example, √9 = 3 because 3² = 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.

Front

Simplify √45.

Back

√45 = 3√5.

Front

What is the simplified form of √40?

Back

√40 = 2√10.

Front

Simplify √125.

Back

√125 = 5√5.

Front

Simplify √300.

Back

√300 = 10√3.

Front

What is the prime factorization of 45?

Back

45 = 3² × 5.

Front

How do you simplify square roots?

Back

To simplify square roots, factor the number into its prime factors and pair them. For example, √45 = √(9 × 5) = √9 × √5 = 3√5.

Front

What is the square root of 324?

Back

√324 = 18.