How do you simplify: Square root(18) - Square root(98)?

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Answer 1 · 2015-07-21T16:42:32

#=color(blue)(-4sqrt2#

Prime factorising the terms(expressing the numbers as products of prime numbers):

#sqrt 18 = sqrt(3*3*2) = 3sqrt2#

and,

#sqrt98=sqrt(2*7*7)=7sqrt2#

So,

#sqrt18 - sqrt98 = 3sqrt2 - 7sqrt2#

#=color(blue)(-4sqrt2#