The value of the expression 1/\sqrt{11-2\sqrt30}-3/\sqrt{7-2\sqrt10}-4/\sqrt{8+4\sqrt3} after simplification is

NTSE Stage 2 SAT 2014 Question Paper

Question : 42 of 100

Marks: +1, -0

The value of the expression

1/{√{11-2√30}}-3/{√{7-2√10}}-4/√{8+4√3}

after simplification is

Solution:

√{11-2√30}=√6-√5

√{7-2√10}=√5-√2

and

√{8+4√3}=√6+√2

Simplifying we get

1/√{11-2√30}-3/√{7-2√10}-4/√{8+4√3}

=√6+√5-{3(√5+√2)}/3-{4(√6-√2)}/4

=0

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