How do you simplify #sqrt3(sqrt5 - sqrt3)#?

1 Answer
smendyka
Apr 23, 2017

See the entire solution process below:

Explanation:

First, rewrite this expression as:

#(sqrt(3) * sqrt(5)) - (sqrt(3) * sqrt(3))#

Now, use this rule for radicals to combine the terms within parenthesis;

#sqrt(a) * sqrt(b) = sqrt(a * b)#

#(sqrt(3) * sqrt(5)) - (sqrt(3) * sqrt(3)) = #sqrt(3 * 5) - sqrt(3 * 3) =#

#sqrt(15) - sqrt(9) = sqrt(15) +- 3#

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