How do you simplify sqrt5 div sqrt3?

1 Answer
IDKwhatName
Jun 28, 2017

sqrt(15)/3

Explanation:

sqrt(5)-:sqrt(3) can be rewritten as sqrt(5)/sqrt(3).

As there is a surd (radical) on the botoom, we have to rationalise the denominator, to do this we use the equation: a/sqrt(b)-=(a*sqrt(b))/(sqrt(b)^2)=(asqrt(b))/b.

In this case, a=sqrt(5) and b=sqrt(3). By putting our values in we get: sqrt(5)/sqrt(3)-=(sqrt(5)*sqrt(3))/(sqrt(3)^2)=(sqrt(5*3))/3=(sqrt(15))/3. As none of the factors of 15 are perfect squares, this fraction cannot be simplified.

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