RRB Junior Engineer Stage 1 Model Papers 5

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Question : 15 of 100

Marks: +1, -0

The value of

{3√2}/{√3+√6}-{4√3}/{√6+√2}+√6/{√3+√2}

is

4
0
$√2$
$3√6$

Solution:

Expression

={3√2}/{√3+√6}{4√3}/{√6+√2}+√6/{√3+√2}

={3√2(√6-√3)}/{(√6+√3)(√6-√3)}-{4√3(√6-√2)}/{(√6+√2)(√6-√2)}+√6/{(√3+√2)}×{√3-√2}/{√3-√2}

={3√2(√6-√3)}/{(6-3)}-{4√3(√6-√2)}/{(6-2)}+{√6(√3-√2)}/{(3-2)}

=√2(√6-√3)-√3(√6-√2)+√6(√3-√2)

=√12-√6-√18+√6+√18-√12=0

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