# Square Roots Worksheet #1

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```					                                                                    Subject: Math
Unit: Number Concepts
Lesson: Five

email:info@youtheducationservices.ca        www.youtheducationservices.ca

Square Roots Worksheet

Determine the value of each number squared.
1. 462

2. 342

Determine the square root of each number.
3. √56.2

4. √13

5. Determine two values that fulfill x2 = 49

6. Determine two values that fulfill √144

7. You bought a square blanket with an area of 8m2. What is the length
of one side?

Thank-you to our supporters!
-1-
Subject: Math
Unit: Number Concepts
Lesson: Five

email:info@youtheducationservices.ca        www.youtheducationservices.ca

8. Your teacher would like to carpet ½ of your
classroom to make it more comfortable. The length
of your classroom is 6m by 6m. What is the area of
the carpet?

9. Explain why the answer of question 8 is only positive.

10. You have a square deck with an area of 17m2. You would like to
double the area. What is the length of one
side of the new deck?

Thank-you to our supporters!
-2-
Subject: Math
Unit: Number Concepts
Lesson: Five

email:info@youtheducationservices.ca   www.youtheducationservices.ca

Square Roots
Worksheet Solutions

Determine the value of each number squared.
1. 462
46 x 46 = 2 116

2. 342
34 x 34 = 1 156

Determine the square root of each number.
3. √56.2 = 7.5

4. √13 = 3.61

5. Determine two values that fulfill x2 = 49
X=7
X = -7
The product of a positive number and a positive number is
positive. The product of a negative number and a negative
number is also positive.

Thank-you to our supporters!
-1-
Subject: Math
Unit: Number Concepts
Lesson: Five

email:info@youtheducationservices.ca   www.youtheducationservices.ca

6. Determine two values that fulfill √144
X = 12
X = -12
The product of a positive number and a positive number is
positive. The product of a negative number and a negative
number is also positive.

7. You bought a square blanket with an area of 8m2. What is the
length of one side?
Area = Length x Width
8m2 = ____ x _____
8m2 = 2.83 x 2.83
The length of one side is 2.83m.

8. Your teacher would like to carpet ½ of your
classroom to make it more comfortable. The length of
your classroom is 6m by 6m. What is the area of the
carpet?
Area = Length x Width
Area = 6m x 6m
Area = 36m2
½ Area = 18m2

Thank-you to our supporters!
-2-
Subject: Math
Unit: Number Concepts
Lesson: Five

email:info@youtheducationservices.ca   www.youtheducationservices.ca

9. Explain why the answer of question 8 is only positive.
Area can only be expressed as a positive number as it does not
make sense to have a negative area.

10. You have a square deck with an area of 17m2. You would like to
double the area. What is the length of one side of the new deck?
Area = length x width
Area = 17m2
Double (2x) Area = 34m2

34m2 = length x width
34m2 = _____ x ______
34m2 = 5.83m x 5.83m

The length of one side is 5.83 meters.

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