Find the value of the question mark (?) in the following expression:\frac{2+\sqrt 7}{ 2 -\sqrt7} - {2-\sqrt 7}/ {2 +\sqrt7 }=?

SSC CPO SI and ASI Model Paper 9

Question : 110 of 200

Marks: +1, -0

Find the value of the question mark (?) in the following expression:

{2+√ 7}/{ 2 -√7} - {2-√ 7}/ {2 +√7 }=?

Solution:

?={(2+√7)^2-(2-√7)^2}/{(2-√7)(2+√7)}

={4(2)(√7)}/{(2)^2-(√7)^2}

={8√7}/{(4-7)}=-{8√7}/3

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