Question

Simplify + 3 root 20 +4root5

Answer 1

Explanation:

`3√(20) + 4√(5)`

1st: Split up the numbers under the radical into possible factors.

`3√(5*4) + 4√(5)`

2nd: Take out the perfect square (in this case 4)

`3*2√(5) + 4√(5)`

3rd: simplify

`6√(5) + 4√(5)`

4th: Combine like terms

`10√(5)`

Answer 2

`\sf 10√(5)`

Explanation:

Simplifying the radicals:

Prime factorize 20 and simplify 3√20

`\sf 3√(20) = 3√(2*2*5)=3*2*√(5)=6√(5)`

`\sf 3√(20)+4√(5)=6√(5)+4√(5)`

`\sf = 10√(5)`