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Find the value of '(sqrt(32)+sqrt(48))/...

Find the value of '(sqrt(32)+sqrt(48))/sqrt(8)+sqrt(12))`

A

`sqrt2`

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
`(sqrt(32)+sqrt(48))/(sqrt8+sqrt(12))=(sqrt(16xx2)+sqrt(16xx3))/(sqrt(4xx2)+sqrt(4xx3)`
`(4sqrt2+4sqrt3)/(2sqrt2+2sqrt3)=(4(sqrt2+sqrt3))/(2(sqrt2+sqrt(3)))=2`
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