How do you simplify $(8sqrt3)/sqrt6$ ?

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Answer 1 · 2018-03-22T01:13:54

$4sqrt2$

First we need to rationalize the denominator (no radicals can be in a denominator)

$(8sqrt3)/sqrt6 rarr$ Multiply the numerator and denominator by $sqrt6$ to get rid of the radical

$(8sqrt18)/6$

$(8sqrt9*sqrt2)/6 rarr$ 9 is a perfect square

$(8*3*sqrt2)/6$

$(24sqrt2)/6 rarr$ 24 is divisible by 6

$4sqrt2$

How do you simplify (8sqrt3)/sqrt6(8sqrt3)/sqrt6?