Question

Which of the following numbers are perfect squares?
(i) 121
(ii) 136
(iii) 256
(iv) 321
(v) 600

Answer 1

Solution :

i ) 121

121 = 11 × 11 = 11² ( perfect square )


ii ) 136

136 = 2 × 2 × 2 × 17

= ( 2 × 2 ) × 2 × 17

2 , 17 do not exists in pairs.

Therefore ,

136 is not a perfect square.

iii ) 256

256 = 2×2×2×2×2×2×2×2 = 2^8

= ( 2⁴ )²

= ( 16 )²

Therefore ,

256 is a perfect square.

iv ) 321

321 = 3 × 107

3 , 107 doesn't exist in pairs .

Therefore ,

321 is not a perfect square.

v ) 600

600 = 2 × 2 × 2 × 3 × 5 × 5

= ( 2 × 2 ) × 2 × 3 × ( 5 × 5 )

Here ,

2 , 3 are doesn't exist in pairs.

Therefore b,

600 is not a perfect square.

••••

Answer 2

Step-by-step explanation:

121 =11x11

yes 121 is a perfect square . 136 it is not a perfect square . 256= 16x16 yes it is a perfect square. 321 it is not a perfect square . 600 it is not a square