Find the simplified value of 1/{\sqrt2+\sqrt3-\sqrt5} + 1/{\sqrt2-\sqrt3-\sqrt5} .

RRB Group D Model Paper 10 with solutions

Question : 39 of 100

Marks: +1, -0

Find the simplified value of

1/{√2+√3-√5}

1/{√2-√3-√5}

Solution:

(3)

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-(√3)^2}

{2(√2-√5)}/{ 2+5-2√10 -3}

{(√2-√5)}/{ 2-√10}

1/√2

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