How do you simplify $sqrt36/sqrt3$ ?

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Answer 1 · 2016-01-28T16:23:05

$=2sqrt3$

$sqrt36/sqrt3$

We know that $sqrt36= 6$

So,
$sqrt36/sqrt3 = color(blue)(6)/sqrt3$

Now we rationalise the denominator:
$(6)/sqrt3 =((6) xx sqrt3) /(sqrt3 xx sqrt3$

$=(6sqrt3)/(sqrt3 xx sqrt3$

$=(6sqrt3)/ 3$

$=(cancel6sqrt3)/ cancel3$

$=2sqrt3$

How do you simplify sqrt36/sqrt3sqrt36/sqrt3?