How do you simplify $14/sqrt 11$ ?

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Answer 1 · 2016-02-21T09:21:05

$color(blue)((14sqrt11)/11)$

Since the given has an irrational deminator, Square Roots are not allowed in the denominator, we must rationalize the denominator.

$a/sqrtb = a/sqrtb * sqrtb/sqrtb = (asqrtb)/b$

where $a>0, b>0, c>0$

we can simply rationalize the denominator by simply multiplying the top and bottom by $sqrt11$ .
$(14/sqrt11)*sqrt11/sqrt11 = (14sqrt11)/11$

So the answer is:

$(14sqrt11)/11$

How do you simplify 14/sqrt 1114/sqrt 11?