How do you simplify #sqrt175-sqrt27+sqrt28#?

1 Answer
Tony B
May 15, 2016

#" "7sqrt(7)-3sqrt(3)#

Explanation:

If you can not easily spot the common factors etc try investigation with factor trees.

Tony B
Write as

#" "color(brown)(sqrt(175)-sqrt(27)+sqrt(28))color(blue)(->sqrt(5^2xx7)-sqrt(3^3xx3)+sqrt(2^2xx7))#

#" "5sqrt(7)-3sqrt(3)+2sqrt(7)#

#" "7sqrt(7)-3sqrt(3)#

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