Simplifying Radicals

Front

What is a radical?

Back

A radical is a symbol used to indicate 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 √96 simplified?

Back

4√6

Front

What is the square root of a negative number?

Back

The square root of a negative number involves imaginary numbers, represented as 'i', where i = √-1.

Front

What is √-90 simplified?

Back

3i√10

Front

What is √32 simplified?

Back

4√2

Front

What is the process to simplify √a*b?

Back

Factor 'a' and 'b' into perfect squares, then simplify by taking the square root of the perfect squares out of the radical.

Front

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

Back

x, assuming x is non-negative.

Front

What is the value of √(36)?

Back

6

Front

What is the simplified form of √(a^2 * b)?

Back

a√b, assuming a is non-negative.