What is the value of 2 +\sqrt2 +1/ {2 +\sqrt2}-1/ {2 -\sqrt2} ?

RRB NTPC Mains or Stage 2 Model Paper 4 with solutions

Question : 1 of 120

Marks: +1, -0

What is the value of

2 +√2 +1/ {2 +√2}-1/ {2 -√2} ?

Solution:

2 +√2 +1/{2+√2}- 1/{2-√ 2}

=2 +√2 {+2 -√2-2-√ 2}/{4 -2}

=2+√2+{( -2 √2)}/2 =2+√ 2 = 2

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