How do you simplify $sqrt3(sqrt27-sqrt3)$ ?

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Answer 1 · 2017-05-08T21:56:22

See a solution process below:

First, rewrite this expression as:

$(sqrt(3) * sqrt(27)) - (sqrt(3) * sqrt(3))$

Next, use this rule for multiplying radicals to again rewrite the expression as:

$sqrt(a) * sqrt(b) = sqrt(a * b)$

$(sqrt(3) * sqrt(27)) - (sqrt(3) * sqrt(3)) = sqrt(3 * 27) - sqrt(3 * 3) =>$

$sqrt(81) - sqrt(9) => 9 - 3 => 6$

How do you simplify sqrt3(sqrt27-sqrt3)sqrt3(sqrt27-sqrt3)?