Find the simplified value of1 /{\sqrt 2 +\sqrt3-\sqrt 5 }+1/{\sqrt2 -\sqrt3-\sqrt 5 . }

RRB Non Technical Model Papers 6 with solutions

Question : 75 of 100

Marks: +1, -0

Find the simplified value of

1 /{√ 2 +√3-√ 5 }+1/{√2 -√3-√ 5 . }

Solution:

1/{√2 +√3-√ 5} +1/{√2 -√3 -√5}

={√2- √ 3- √5+√2+√ 3 -√5}/{(√ 2+√ 3 -√5)(√ 2-√ 3 -√5)}

={2(√ 2- √5)}/{ 2 +5-2√10-3 }5={√ 2-√5}/{2-√10}

{{2(√ 2 -√5) }/( √2 -√5)^ 2-(√3)^2}

={(√2-√5)}/{√2(√2√-√5)}=1/√2

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