saidsaid saidsaid

21-03-2016
Mathematics

Answered

which expression is equivalent to √11+√64-2√44

A8-4√44
B5√3-4√11
C8-3√11
D13√11

Verified Answer :

21-03-2016

\(\sqrt{11} + \sqrt{64} -2\sqrt{44} =\\\\\sqrt{11} + 8-2\sqrt{44}=\\\\\sqrt{11} +8 -2\sqrt{4\times11} =\\\\\sqrt{11} +8-2\sqrt{4}\times\sqrt{11}=\\\\\sqrt{11} +8 - 2(2) \times \sqrt{11} =\\\\\sqrt{11}+8-4\sqrt{11}=\\\\ 8+\sqrt{11} -4\sqrt{11}=\\\\\boxed{\bf{8 -3\sqrt{11}}}\)

Your answer is C.

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