Question

how to find the square root of
$\sqrt{200}$
(with the help of steps)​

Answer 1

Answer:

Step-by-step explanation:

Answer:

#color(green)(=10sqrt2#

Explanation:

Square root of a number can be simplified by prime factorising the number.

Prime factorisation involves expressing a number as a product of prime numbers.

(#200# has #2# and #5# as its prime factors.)

So,

#sqrt(200) = sqrt(2*2*2*5*5)#

#sqrt200=sqrt(2^2 *2 *5^2)#

#=2*5sqrt2#

#color(green)(=10sqrt2#