# 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 dm^{2}.

**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 ft
^{2} - B489 ft
^{2} - C1 764 ft
^{2} - D868 ft
^{2} - E531 ft
^{2}

**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 .