Practice with Simplifying Square Roots(Radicals)

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

Simplify the radical: √24

Back

2√6

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc.

Front

Simplify the radical: 3√700

Back

30√7

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

Simplify the radical: √72

Back

6√2

Front

What is the product property of square roots?

Back

The product property states that √(a*b) = √a * √b for any non-negative numbers a and b.

Front

Simplify the radical: √275

Back

5√11

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a/b) = √a / √b for any non-negative numbers a and b, where b ≠ 0.

Front

Simplify the radical: 2√24

Back

4√6