The value of (\sqrt{6}+\sqrt{10}-\sqrt{21}-\sqrt{35}) (\\sqrt{6}-\sqrt{10}+ \sqrt{21}-\sqrt{35} ) is

SSC CPO SI and ASI 2016 Paper

Question : 134 of 200

Marks: +1, -0

The value of

(√{6}+√{10}-√{21}-√{35})

(\√{6}-√{10}+ √{21}-√{35} )

Solution:

(2)

(√{6}+√{10}-√{21}-√{35})

(\√{6}-√{10}+ √{21}-√{35} )

=((\√{6}-√{35})-(\√{21}-√{10}))

((√{6}-√{35})+(√{21}-\√{10}))

=(√{6}-√{35})^{2}-(√{21}-√{10})^{2}

=6+35-2 √{210}-21-10+2 √{210}

=41-31=10

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