How do you simplify -3sqrt5(3sqrt15+2sqrt5)?

2 Answers
Alan P.
Jul 10, 2015

-(45sqrt(3)+30)

Explanation:

-3sqrt(5)(3sqrt(15)+2sqrt(5))
color(white)("XXXX")=(-3sqrt(5) * 3sqrt(15)) + (-3sqrt(5) * 2sqrt(5))

color(white)("XXXX")=-9sqrt(75) - 6 sqrt(25)

color(white)("XXXX")=-9*5sqrt(3) -6*5

color(white)("XXXX")=-(45sqrt(3)+30)

Meave60
Jul 10, 2015

The answer is -45sqrt3-30.

Explanation:

-3sqrt5(3sqrt(15)+2sqrt5)

Distribute the -3sqrt5 by multiplying it times both terms in the parentheses.

-9sqrt5sqrt15-6sqrt5sqrt5 =

Simplify.

-9sqrt5sqrt3sqrt5-6sqrt5sqrt5 =

Simplify.

(sqrt5sqrt5=5)

-9*5sqrt3-6*5 =

Simplify.

-45sqrt3-30

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1544 views around the world
You can reuse this answer
Creative Commons License