1. SQUARES
SQUARE ROOTS
ALGEBRAIC EXPRESSIONS
100

Find 15².

Answer: 225

100

Find √169.

12

100

What is the coefficient of x in 7x + 5?

Answer: 7

200

Which of the following is a perfect square?
A. 72
B. 81
C. 90
D. 98

Answer: 81

200

Find √324.

Answer: 18

300

Q3. Find the smallest number that must be added to 50 to make it a perfect square.

Answer: 14
50 + 14 = 64 = 8²

300

Find √2025.

Answer: 45

400

Find the square of 35.

Answer: 1225

400

What is the smallest number that must be subtracted from 150 to make it a perfect square?

Answer: 6

500

Find the least number by which 48 must be multiplied to make it a perfect square.

Answer: 3
48 × 3 = 144 = 12²

500

Find the square root of 1764 using prime factorisation.

Answer: 42
1764 = 2² × 3² × 7²
Therefore, √1764 = 2 × 3 × 7 = 42.