Question
If `sqrt(2)` = 1.4142, find the value of `(sqrt(2))/((2 + sqrt(2)))`
Answer: Option B
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Sol. `(sqrt(2))/((2 + sqrt(2)))`
= `(sqrt(2))/((2 + sqrt(2)))` x `((2 - sqrt(2)))/((2 - sqrt(2)))`
= `(2sqrt(2) - 2)/(4 - 2) = (2(sqrt(2) - 1))/(2) `
= `(sqrt(2) - 1) ` = ( 1.4142 - 1 ) = 0.4142.
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