Question

2. Which of the following numbers are the
perfect squares? (a) 23
b) 576 c) 82 d) 169
​

Answer 1

Answer:

Therefore, b), c) are perfect square

Step-by-step explanation:

a × a = Perfect square

a) 23

a × a = 23

2a = 23

$\sf a = \frac{23}{2} = 11.5$

It is not a perfect square, because it is a fractional number.

Therefore, it is not a perfect square.

b) 576

a × a = 576

2a = 576

$\sf a = \frac{576}{2} = 288$

Therefore, it is a perfect square.

c) 82

a × a = 82

2a = 82

$\sf a = \frac{82}{2} = 41$ Therefore, it is a perfect square.

d) 169

a × a = 169

2a = 169

$\sf a = \frac{169}{2} = 84.5$

Therefore, it is not a perfect square.