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Simplify (sqrt(72))/(5sqrt(72)+3sqrt(288...

Simplify `(sqrt(72))/(5sqrt(72)+3sqrt(288)-2sqrt(648))`

A

1/4

B

2/5

C

1/5

D

5/2

Text Solution

Verified by Experts

The correct Answer is:
C
We have
`(sqrt(72))/(5sqrt(72)+3sqrt(288)-2sqrt(648))= (sqrt(72))/(5sqrt(72)+3sqrt(4xx72)-2sqrt(9xx72))`
`=(sqrt(72))/(5sqrt(72)+3.sqrt(4).sqrt(72) - 2.sqrt(9) . sqrt(72))`
. `= (sqrt(72))/(5sqrt(72)+ 3 xx 2xx sqrt(72)- 2xx 3xx sqrt(72))`
`=(sqrt(72))/((5+6-6)sqrt(72)) = (1)/(5)`
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