How do you simplify: the square root of 200?

1 Answer
Jul 27, 2015

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#