Question

what is the method of √192

Answer 1

√192 = 8√3
Now,
First prime factorise the number 192
$\sqrt{192} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3}$
now there are 6 twos and one three in the prime factorisation.
So by taking two times √2 we get 2.
similarly this is three times
so,
√192 =2*2*2*√3
√192 = 8√3.

hope it helps

Answer 2

prime factorise the number
Then take pairings in 2
then take from each pair and multiply to get answer