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Question

If 2=1.4142... then 212+1 is equal to 

A) 2.4142
B) 5.8282
C) 0.4142
D) 0.1718


Solution

Option C) is correct.

Given:2=1.4142

On rationalizing, we get,

212+1=212+1×2121 [Multiplying numerator and denominator by (21)]

=(21)2(2)2(1)2

=(21)221=21=(1.4142...)1=0.4142

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