Simplifying Square Roots w/ and w/o Variables

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 121?

Back

11

Front

Simplify: 3√16

Back

12

Front

Simplify the following radical: √32

Back

4√2

Front

Simplify the following radical: √300

Back

10√3

Front

Simplify the following radical: √150

Back

5√6

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

What is the quotient of square roots?

Back

The quotient of square roots states that √a / √b = √(a / b). For example, √8 / √2 = √4 = 2.

Front

How do you simplify √(a^2) where a is a variable?

Back

√(a^2) = a, assuming a is non-negative.

Front

What is the simplified form of √(x^2 * 16)?

Back

4x, assuming x is non-negative.