Question

Simplify 3 square root of 20/ square root of 5

Answer 1

-7√5

rewrite 20 as 2^2·5

factor 4 out of 20. negative ∛4(5)-√5

rewrite 4 and 2^2 negative ∛2^2·5-√5

pull terms out from under the radical

-3(2√5)√5

multiply 2 by -3

-6√5-√5

subtract √5 from -6√5

-7√5

the answer is -7√5