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In this lesson, we will learn how to find the square root of a perfect square.

Q1:

Calculate the side length of a square whose area is 6β400 dm^{2}.

Q2:

Determine whether the square root of a perfect square is a rational or an irrational number.

Q3:

An artist plans to make a large square mosaic out of 800 white and 800 black small square tiles. Unfortunately, 40 of the tiles are damaged, and canβt be used as part of the mosaic. The artist decides to make his mosaic as big a square as possible without using the damaged tiles. How many tiles will he end up not using in total?

Q4:

Given that ( π π ) = 1 0 0 ο¨ ο¨ c m and π is the midpoint of π π , determine the length of π π .

Q5:

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.

Q6:

In a gymnasium, athletes perform their exercises on a square-shaped tumbling mat with an area of 1,681 square feet. Determine the distance an athlete has to run along one side of the mat.

Q7:

In a gymnasium, athletes perform their exercises on a square-shaped tumbling mat with an area of 400 square feet. Determine the distance an athlete has to run along one side of the mat.

Q8:

Mr. Fadyβs farm has a square-shaped field. Which of the following is the area of his field if its side lengths are measured in whole numbers?

Q9:

Evaluate ο β 6 2 5 .

Q10:

Evaluate ο 9 1 6 .

Q11:

Determine the square roots of 1β156.

Q12:

Given that π₯ π¦ = 2 5 9 2 2 , evaluate π₯ π¦ 3 3 .

Q13:

The area of a park is 335β241 square feet. If the borders of the park are of the same length, determine the length of each side.

Q14:

The area of a park is 197β136 square feet. If the borders of the park are of the same length, determine the length of each side.

Q15:

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

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