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Question

If 2=1.4142...... then 212+1 is equal to:
  1. 2.4142
  2. 5.8282
  3. 0.4142
  4. 0.1718


Solution

The correct option is C 0.4142
212+1=212+1.2121
[inside the root, mulitplying the numerator and denominator by (21)
[Using identity (ab)(a+b)=a2b2]
=(21)2(2)2(1)2=(21)221=21=(1.4142....)1=0.4142

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