The simplified value of (\sqrt{3}+1)(10+\sqrt{12})(\sqrt{12}-2)(5-\sqrt{3}) is

SSC CPO SI and ASI 2014 Paper

Question : 133 of 200

Marks: +1, -0

The simplified value of

(√{3}+1)(10+√{12})(√{12}-2)(5-√{3})

Solution:

(3)

(√{3}+1)(10+√{12})(√{12}-2)(5-√{3})

=(√{3}+1)(10+2 √{3})(2 √{3}-2)(5-√{3})

=(√{3}+1) × 2(5+√{3})× 2(√{3}-1)×(5-√{3})

=4(3-1)×(25-3)=176

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