A2 - Simplifying Radicals w/ Imaginary Numbers

Front

Define a radical expression.

Back

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

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, i.e., i = √-1.

Front

How do you simplify √-a?

Back

To simplify √-a, rewrite it as i√a.

Front

Simplify √-32.

Back

4i√2.

Front

Simplify √-72.

Back

6i√2.

Front

Simplify √-45.

Back

3i√5.

Front

Simplify √-80.

Back

4i√5.

Front

Simplify √-300.

Back

10i√3.

Front

What is the process for simplifying a radical with a negative number?

Back

Factor out the negative number as 'i' and simplify the positive part.

Front

What is the principal square root?

Back

The principal square root of a number is the non-negative root of that number.