Simplify Square Roots

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

List the first ten perfect squares.

Back

The first ten perfect squares are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Front

How do you simplify the square root of a number?

Back

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

Front

What is the simplified form of √36?

Back

The simplified form of √36 is 6.

Front

What is the simplified form of √108?

Back

The simplified form of √108 is 6√3.

Front

How do you simplify the expression 2√12?

Back

To simplify 2√12, first simplify √12 to 2√3, then multiply: 2 * 2√3 = 4√3.

Front

What is the simplified form of √40?

Back

The simplified form of √40 is 2√10.

Front

What is the square root of a product?

Back

The square root of a product is the product of the square roots of the factors. For example, √(a*b) = √a * √b.

Front

What is the square root of a quotient?

Back

The square root of a quotient is the quotient of the square roots of the numerator and denominator. For example, √(a/b) = √a / √b.

Front

What is the relationship between square roots and exponents?

Back

The square root of a number can be expressed as an exponent: √a = a^(1/2).