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What should be added to (1 + sqrt5 - sqr...

What should be added to `(1 + sqrt5 - sqrt3)` so that the result of addition is `2 sqrt3` ?

A

`3 sqrt3 -1-sqrt5`

B

`3 sqrt3+ 1 - sqrt5`

C

`3 sqrt3 -1+ sqrt5`

D

`3 sqrt3 + 1 + sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
A
We have, `2sqrt3 - (1 + sqrt5 -sqrt3)`
`= 2 sqrt3 -1- sqrt5 + sqrt3`
`= 3 sqrt3 -1- sqrt5`
Hence (c) is correct
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CALCUTTA BOOK HOUSE-QUADRATIC SURDS-Exercise -3.2
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