﻿ Finding Squares and Square Roots Worksheets
These worksheets will teach your students how to correctly simplify radicals that contain negative numbers.

#### Determining the square of a value and finding the square root of that value are completely opposite tasks. When we square a value, we are multiplying that value by the value itself. If you are looking to determine the square root of a value, you are trying to find what quantity multiplied by itself would produce your original value. In this section you will work with some perfect squares. Perfect squares are squares of whole numbers (i.e. 49 is a perfect square (of 7). This section includes work that will practice simplifying algebraic equations that contain negative numbers under the radical by using the algebraic symbol i (for "imaginary," the square root of -1). These don't differ much from radical equations. The only difference is how you go about calculating the final values.

We will start with lesson that walk you through all the considerations that you need to make as you go through the problems. We will then slowly pace you into doing the problems by yourself. Make sure to assess how you do with each skill as you move along by using the quizzes. Here are several worksheets covering various topics about square roots. Learn how to find the value of a square root, evaluate perfect squares, and deal with squares of imaginary numbers.

# Print Finding Squares and Square Roots Worksheets

## Basic skills: Finding Square Roots Independent - Practice 1

Using a Square and square roots table, find the value of n for each. Example: √n = 16

## Practice 2

More work on the basics.

## Intermediate skills: Finding Square Roots Independent - Practice 1

Using a Square and square roots table, find the value of n for each. Example: √n = 361

## Practice 2

We ramp up the difficulty by working with operations as well as roots.

## Practice 3

Put it all together and see if you can cruise through this worksheet.

## Find the Square Root - Lesson

Learn how to find the square root of the following: 36 or √36.

## Find the Square Root - Worksheet 1

For each, find the square root. Example: √4

## Worksheet 2

Crash that exercise to get to that next level.

## Review

Follow the steps to find the square root of the following: 7396 or √7396.

## Quiz

For each problem find the square root, and then check your answers and record your total score below. Example: √4624

## Do Now

Complete the following problems, then put your answer in the "My Answer" box. Example: √324

## Find the Square Root - Meet the Skill

Follow the steps to learn how to find the square root of the given number: 9801 or √9801

## Try the Skill

Follow the steps to solve the following (Find the square root of given number): √4761

## Practice the Skill

Find the square root of the given numbers. Example: 144

## Practice the Skill Twice

Find the square root of the given numbers. Example: √784

## Show the Skill

Find the square root of the given numbers. Example: 2401

## Warm Up

Get your hands warm with this one.

## Simplifying Square Roots with Negative Numbers - Lesson

Learn how to simplify the following expression: √-144

## Worksheet 1

Breaking down each problem may be best by breaking smaller pieces out of it first. Example: √-32

## Worksheet 2

Simplify each of the following. Example: √-25

## Review Sheet

Follow the steps to review simplifying a square root with an imaginary number. Example: √-196

## Quiz

For each problem, simplify, and then check your answers and record your total score below. Example: √-196

## Do Now

Complete the following problems, then put your answer in the "My Answer" box. Example: Simplify: √-2500

## Square Roots - Meet the Skill

Follow the steps to do the following and answer the question: Draw a square whose area is 9 cm2 . What is its perimeter?

## Try the Skill

Learn how to solve a square root without a calculator. Example: √50 - 14

## Practice the Skill

For each, find the square roots. Example: √100

## Practice the Skill Twice

For each, find the square roots with a calculator. Give the answer rounded to the nearest hundredth. Example: : √5

## Show the Skill

Find the value of the expressions with a calculator. Give the answer rounded to the nearest hundredth. Example: √1.9 x 240

## Warm Up

Find the side of the square when the area is given. Example: 36 ft2

## Square and Square Roots - Lesson

Follow the steps to find the square of 6 or 62.

## Worksheet 1

For each, find the value of n. Example: √81 = n

## Worksheet 2

For each, find the value of n. Example: √64 = n

## Review Sheets

Follow the steps to review how to find the square of a number. Example: 4 or 42

## Quiz

For each problem find the value of n, and then check your answers and record your total score below. Example: √676 = n

## Do Now

Complete the following problems, then put your answer in the "My Answer" box. Example: √256 = n

## Meet the Skill

Follow the steps in this worksheet to complete the following: Write the perfect square of 529, using the power 2.

## Try the Skill

Follow the steps in this worksheet to complete the following: Write the perfect square as a square root: 225

## Practice the Skill

Write each perfect square, using the power 2. Example: 676

## Practice the Skill Twice

For each, write each perfect square, using the power 2. Example: 5329

## Show the Skill

See if you know how to find a perfect square, using the power 2. Example: 4489

## Warm Up

Get started with this skill right here. Example: 1296

## Meet the Skill

Follow the steps in this worksheet to learn how to find the square of the given number: 242

## Try the Skill

Follow the steps in this worksheet to find the value of n. Example: n =√625

## Practice the Skill

For each problem, find the value of n. Example: n = √16

## Practice the Skill Twice

No idea why the author choose to use the variable n, might be because their name was Nick and Nadine. Example: n = √169

## Show the Skill

Some are perfect and others are imperfect. Example: n = √48

## Warm Up

For each problem, find the value of n. Example: n2 = 196

## Another Lesson

Learn how to solve the following problem by following the steps given: Write a perfect square of 3481 as a square root.

## Worksheet 3

For each problem, write the perfect square as a square root. Example: 169

## Worksheet 4

This will ask you to write it multiple ways. Example: 576

## Review

Take your time and review, on your own, how to write a perfect square as a square root. Example: 256

## Perfect Squares and Square Roots - Quiz

For each problem, write the perfect square as a square root. Then check your answers and record your total score below. Example: 9604

## Do Now

Complete the following problems, then put your answer in the "My Answer" box. Example: Solve the following: 9604.

## Simplify Square Roots with Negative Numbers - Lesson

Learn imaginary numbers and square roots. Follow the steps and simplify. Example: Simplify in terms of i √-9

## Worksheet 1

Simplify each problem in terms of i. Example: (1/5)√-625

## Worksheet 2

Simplify each problem in terms of i. Example: √-676

## Review Sheet

Follow the steps to review how to simplify an imaginary square root. Example: √-16

## Quiz

For each problem simplify in terms of i, and then check your answers and record your total score below. Example: (1/5) √-1225

## Do Now

Get started on this topic with this sheet. Example: Simplify in terms of i: √-2916