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The square root of (0.75)^(3)/(1-(0.75))...

The square root of `(0.75)^(3)/(1-(0.75))+(0.75+(0.75)^(2)+1)` is-

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
say 0.75 is x
then `(x^(3))/(1-x)+(x^(2)+x+1)=P`
`(x^(3)-(x-1)(x^(2)+x+1))/(1-x)=P`
`(""x^(3)-x^(3)+1")")/(1-x)=P`
`impliesP=(1)/(1-x)`
`impliesP=(1)/(1-(3)/(4))=(4)/(1)`
`sqrtP=2`
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