1.

If `y=3-sqrt(8)`, then `(y-(1)/(y))^(2)` =_______.A. 9B. 81C. 4D. 32

Answer» Correct Answer - D
Given that, `y=3-sqrt(8)`
`(1)/(y)=(1)/(3-sqrt(8))=(3+sqrt(8))/((3-sqrt(8))(3+sqrt(8)))`
`(3+sqrt(8))/(9-8)=3+sqrt(8)`
Now , `(y-(1)/(y))^(2)=(3-sqrt(8)-3-sqrt(8))^(2)`
`=(-2sqrt(8))^(2)=32`


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