Question

Simplify the following surd expressions a) 9√3 - 4√3 + √5 + 2√5 b) 10√2 + 4√7 - 6√2

Answer 1

A) 5√3 + 3√5
B) 4√2 + 4√7

Answer 2

`a)\:5√(3)+3√(5)`

`b)-6√(2)+4√(7)`

Explanation:

`a)\:9√(3)-4√(3)+√(5)+2√(5)`

We need to combine like terms:

`9√(3)-4√(3)`

`=5√(3)`

`√(5)+2√(5)`

`=3√(5)`

`5√(3)+3√(5)`

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Combine like terms:

`b)\:0* √(2)+4√(7)-6√(2)`

`0\cdot √(2)-6√(2)`

`=-6√(2)`

`-6√(2)+4√(7)`

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