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 49?

Back

7

Front

Simplify: √16

Back

4

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as √a ⋅ √b = √(a*b).

Front

Simplify: √(a^2)

Back

a (for a ≥ 0).

Front

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

Back

x√y (for x ≥ 0).

Front

Simplify: 2√(12)

Back

4√3.

Front

What is the value of √(a^2b^2)?

Back

ab.

Front

Simplify: √(75)

Back

5√3.