The value of ( 4 + 3 sqrt(3))/( 7 + 4 s...

The value of ` ( 4 + 3 sqrt(3))/( 7 + 4 sqrt(3))` is

A

`5sqrt3-8`

B

`5sqrt3+8`

C

`8sqrt3+5`

D

`8sqrt3-5`

Verified by Experts

The correct Answer is:

A

`(4+3sqrt3)/(7+4sqrt3)=(4+3sqrt3)/(7+4sqrt3)xx(7-4sqrt3)/(7-4sqrt3)`
`=(28-16sqrt3+21sqrt3-36)/(49-16xx3)=(5sqrt3-8)/(1)=5sqrt3-8`

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