# Simplifying Roots Worksheets

How to Simplify Square Roots with Negative Numbers - Every nonnegative actual number 'x', has a unique nonnegative square root, known as the principal square root, which is signified by '√x', where the symbol '√' is called the radical sign or radix. For instance, the principal square root of 9 is 3, which is denoted by √9 = 3, because 32 = 3 x 3 = 9 and 3 is nonnegative. Whenever there is a negative sign under the square root, it is considered as a complex number, and since it is a complex number we need to handle it by using the sign "i" (Iota) which is an imaginary number and is equal to √-1. So if we had to find out the square root of √-16 we would write it as √16*√-1 and to go even more further we simplify and write it as 4i. So the square root of √-16 is 4i.

• ### Basic Lesson

Guides students solving equations that involve an Simplifying Roots. Demonstrates answer checking.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Simplifying Roots.

• ### Independent Practice 2

Students find the Simplifying Roots in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Simplifying Roots.

• ### Skill Quiz

This tests the students ability to evaluate Simplifying Roots.