Evaluate \sqrt{24}+\sqrt{6}/\sqrt{24}-\sqrt{6}.

NCHMCT JEE 2020 Question Paper with solutions for online practice

Question : 74 of 200

Marks: +1, -0

Evaluate

\;{√{24}+√{6}}/{√{24}-√{6}}

Solution:

\;{√{24}+√{6}}/{√{24}-√{6}} \;\; =\;{√{4 × 6}+√{6}}/{√{4 × 6}-√{6}}

\;\; =\;{2 √{6}+√{6}}/{2 √{6}-√{6}}=\;{√{6}(2+1)}/{√{6}(2-1)}

\;\; =\;{3}/{1}=3

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