WORKSHEET ON SQUARE ROOT USING PRIME FACTORIZATION METHOD

Practice problems on squares and square root

Problem 1 :

196 is the square of

(A)  11     (B)  12     (C)  14     (D)  16

Solution

Problem 2 :

Which of the following is a square of an even number ?

(A)  144     (B)  169     (C)  441     (D)  625

Solution

Problem 3 :

The square root of 1521 is 31 ?

(A)  True     (B)  False     (C)  None of these

Solution

Problem 4 :

The square of 2.8 is 78.4 ?

(A)  True     (B)  False     (C)  None of these

Solution

Problem 5 :

1000 is a perfect square ?

(A)  True     (B)  False     (C)  None of these

Solution

Problem 6 :

Which of the following is a square of an odd number ?

(A)  256     (B)  361     (C)  144     (D)  400

Solution

Problem 7 :

Which of the following is not a perfect square ?

(A)  361     (B)  1156     (C)  1128     (D)  1681

Solution

Problem 8 :

The value of √(176 + √2401)

(A)  14     (B)  15     (C)  16     (D)  17

Solution

Problem 9 :

A perfect square can never have the following digit at ones place.

(A)  1     (B)  6     (C)  5     (D)  3

Solution

Problem 10 :

Which of the following will have 1 at its unit place ? 

(A)  19²     (B)  17²     (C)  18²    (D)  16²

Solution

Word problems on square roots

Problem 1 :

You have a square blanket that has an area of 1600 square inches. What is the length of 1 side of the blanket ?

Solution

Problem 2 :

A square coffee table has an area of 196 square inches. What is the length of one side of the coffee table ?

Solution

Problem 3 :

You have a square flower garden that has an area of 400 square yards. What is the length of one side of the garden ?

Solution

Problem 4 :

A square desktop has an area of 324 square inches. What is the length of one side of the desktop ?

Solution

Problem 5 :

You want to carpet a square room that has an area of 144 square feet. What is the length of one side of the room ?

Solution

Problem 6 :

You are going to decorate one wall of your bedroom  by putting border along the top. The wall is a square wall with an area of 256 square feet. What is the length of  border you need for the top of this on wall ?

Solution

Problem 7 :

To the nearest tenth, what is the square root of 33 ?

Solution

Problem 8 :

The area of a square tile is 50 square centimeters. To the nearest tenth of a centimeter, how long is one side of this tile ?

Solution

Problem 9 :

Jason's square bedroom has an area of 90 square feet. The length of one side of his room is between what two whole numbers ?

Solution

Problem 10 :

Grandma's square garden has an area of 90 square feet. The length of one side of her garden would be between what two whole numbers ? What is the length of this side to the nearest tenth of a foot ?

Solution

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