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Add (3sqrt(2) + 7 sqrt(3)) and (sqrt(2...

Add `(3sqrt(2) + 7 sqrt(3))` and `(sqrt(2) - 5sqrt(3))`.

A

`4sqrt(2)+2sqrt(3)`

B

`2sqrt(2)+4sqrt(3)`

C

`2sqrt(2)+2sqrt(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have
`(3sqrt(2) + 7sqrt(3))+(sqrt(2) - 5sqrt(3)) = (3sqrt(2)+sqrt(2))+(7sqrt(3)-5sqrt(3))`
`= (3+1)sqrt(2) + (7-5)sqrt(3)`
` = (4sqrt(2) + 2sqrt(3))`
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