\frac{3+\sqrt6}{5\sqrt3-2\sqrt12-\sqrt32+\sqrt50} simplifies to:

Powers and Roots Practice Test 2

Question : 22 of 40

Marks: +1, -0

{3+√6}/{5√3-2√12-√32+√50}

simplifies to:

Solution:

{3+√6}/{5√3-2√12-√32+√50}

={3+√6}/{5√3-4√2-4√ 2+5√2}

={3+√6}/{√3+√2}

={3+√6}/{√3+√2}×{√3-√2}/{√3-√2}

={3√3+√18-3√2-√12}/{3-2}

={3√3+3√2-3√2-2√3}/1=√3

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