Question

Is 176 a perfect square if not find the smallest number by which ait should be multiplied to get a perfect square

Answer 1

Heya,

2 | 176

2 | 88

2 | 44

2 | 22

11 | 11

1 | 1

176 = '2×2' × '2×2' × 11

Smallest number to be multiplied = 11
[ as it is not in pair ]

Therefore,

√176×11

= √1936

= √2×2×2×2×11×11

= 2×2×11

= 44

Therefore,

Perfect Sq. = 1936

•°• √1936 = 44

____________
Hope it helps !

Answer 2

$176 = (2 \times 2) \times (2 \times 2) \times (11)$

176 is not aperfect square...it must be mutliplied by 11 to get a perfect square.

176×11 = 1936

√1936 =44