Warm-Up Simplifying Square Roots

Front

Define 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 1?

Back

The square root of 1 is 1, since 1² = 1.

Front

Simplify √16.

Back

4, since 4² = 16.

Front

What is the square root of a perfect square?

Back

A perfect square is an integer that is the square of another integer. For example, 25 is a perfect square because 5² = 25.

Front

Simplify √25.

Back

5, since 5² = 25.

Front

What is the square root of 0?

Back

The square root of 0 is 0, since 0² = 0.

Front

Simplify √36.

Back

6, since 6² = 36.

Front

What is the product of square roots?

Back

The product of square roots states that √a * √b = √(a*b). For example, √2 * √3 = √6.

Front

Simplify √(100).

Back

10, since 10² = 100.

Front

What is the square root of a non-perfect square?

Back

A non-perfect square does not have an integer as its square root. For example, √2 is approximately 1.414.