[\frac{3\sqrt2}{\sqrt6-\sqrt3}-\frac{4\sqrt3}{\sqrt6-\sqrt2}-6/{\sqrt8-\sqrt12}] is equal to:

Powers and Roots Practice Test 5

Question : 4 of 31

Marks: +1, -0

[{3√2}/{√6-√3}-{4√3}/{√6-√2}-6/{√8-√12}]

is equal to:

Solution:

[{3√2}/{√6-√3}-{4√3}/{√6-√2}-6/{√8-√12}]

=[{3√2}/{√6-√3}×{√6+√3}/{√6+√3}-{4√3}/{√6-√2}×{√6+√2}/{√6+√2}-2/{√2-√3}×{√2+√3}/{√2+√3}]

=5√3

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