How do you simplify −2√15(−3√3+3√5)?

2 Answers
smendyka
Aug 18, 2017

See a solution process below:

Explanation:

First, multiply each term within the parenthesis by the term outside the parenthesis:

−2√15(−3√3+3√5)⇒

(−2√15×−3√3)+(−2√15×3√5)⇒

(−2×−3)√15√3+(−2×3)√15√5⇒

6√15×3+(−6)√15×5⇒

6√45−6√75

Now, we can simplify the radicals:

6√45−6√75⇒

6√9×5−6√25×3⇒

6√9√5−6√25√3⇒

(6⋅3)√5−(6⋅5)√3⇒

18√5−30√3

Pop Quiz Whiz
Aug 18, 2017

18√5−30√3

Explanation:

First, distribute the −2√15
You end up with:
6√45−6√75
You can then factor under the radical.
6√9⋅5−6√25⋅5
Then, simplify by square rooting the perfect squares.
6⋅3√5−6⋅5√3
Then multiply.
18√5−30√3

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