Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

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

What is the square root of 16?

Back

4

Front

Simplify √72.

Back

6√2

Front

What is the simplified form of √140?

Back

2√35

Front

What is the square root of 169?

Back

13

Front

What is the simplified form of √9?

Back

3

Front

How do you simplify √(a^2)?

Back

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

Front

What is the product property of square roots?

Back

√(a * b) = √a * √b.

Front

What is the quotient property of square roots?

Back

√(a / b) = √a / √b, where b ≠ 0.