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 from under the radical sign.

Front

Simplify: √4

Back

2

Front

Simplify: √25

Back

5

Front

Simplify: √(a^2)

Back

a (for a ≥ 0)

Front

What is the square root of 1?

Back

1

Front

Simplify: √(x^2)

Back

x (for x ≥ 0)

Front

Simplify: √(36)

Back

6

Front

What is the product of two square roots?

Back

√a * √b = √(a*b) for a, b ≥ 0.

Front

Simplify: √(50)

Back

5√2