# Lesson Worksheet: Square Roots Mathematics

In this worksheet, we will practice finding square roots of perfect square numbers including integers, fractions, and decimals.

Q1:

Find the possible values of if .

• A
• B
• C
• D
• E

Q2:

A modern art museum acquired a large, square painting with an area of 121 square feet. What is its side length?

Q3:

A chessboard has an area of 144 square inches, and there is a 1-inch border around the 64 squares on the board. Determine the length of one side of the region containing the small squares.

Q4:

Calculate the side length of a square whose area is 6‎ ‎400 dm2.

Q5:

Find .

• A
• B
• C
• D
• E

Q6:

Calculate .

Q7:

Which of the following can be the area of a square if the measure of its side length is a whole number?

• A247 ft2
• B489 ft2
• C1‎ ‎764 ft2
• D868 ft2
• E531 ft2

Q8:

A squared mosaic is made up of 1‎ ‎800 white squares and 1‎ ‎800 black squares of equal sizes. Determine the number of squares required to make one side of the mosaic.

Q9:

Given that and is the midpoint of , determine the length of .

• A25 cm
• B5 cm
• C50 cm
• D cm

Q10:

Evaluate .