Find the value of \frac{4+\sqrt8}{\sqrt108-2\sqrt12-\sqrt150+\sqrt216}

Powers and Roots Practice Test 1

Question : 32 of 40

Marks: +1, -0

Find the value of

{4+√8}/{√108-2√12-√150+√216}

Solution:

{4+√8}/{√108-2√12-√150+√216}

={4+√8}/{6√3-4√3- 5√6+6√6}

={4+√8}/{2√3+√6}

={4+√8}/{2√3+√6}×{2√3-√6}/{2√3-√6}

={8√3-4√6+4√6-2√12}/{12-6}

={8√3-2√12}/6={2√3}/3

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