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3 votes
Simplify + 3 root 20 +4root5

User Zenobia
by
6.2k points

2 Answers

4 votes

Answer:

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)

User Ladi
by
7.2k points
1 vote

Answer:


\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)

User Izruo
by
7.0k points