Practice with Simplifying Square Roots(Radicals)

Front

What is a square root?

Back

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

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the radical into its prime factors and look for pairs of factors. Each pair can be taken out of the radical.

Front

What is the square root of 96 simplified?

Back

The square root of 96 simplifies to 4√6.

Front

What is the square root of 28 simplified?

Back

The square root of 28 simplifies to 2√7.

Front

How do you simplify the expression 3√700?

Back

3√700 simplifies to 30√7.

Front

What is the simplified form of √300?

Back

The simplified form of √300 is 10√3.

Front

How do you simplify the expression -6√90?

Back

The expression -6√90 simplifies to -18√10.

Front

What is the prime factorization of 90?

Back

The prime factorization of 90 is 2 × 3² × 5.

Front

What is the prime factorization of 300?

Back

The prime factorization of 300 is 2² × 3 × 5².

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. The square root of a perfect square is always an integer.