Question

How do you simply $\dfrac{{15}}{{\sqrt 6 }}$

Answer 1

Hint: In order to solve this question let me tell you for always that if there is root in the denominator and we need to simplify this root it means we are always trying to remove the root from the denominator so we will be multiplying and dividing it from that same number whose root is present in that denominator.

Complete step-by-step solution:
For solving this question we will first have look at this term since in this term the root is given to us as denominator so by simplifying it means we have to remove the root from the denominator so we will removing it here:
$\Rightarrow \dfrac{{15}}{{\sqrt 6 }}$
As is root present in the denominator so in order to remove it from the denominator we will multiply it by its root which means root of 6 and as per to keep the term unchanged we will also have to multiply it from the root of 6 by doing this we will keep the term same without any change.
$\Rightarrow \dfrac{{15 \times \sqrt 6 }}{{\sqrt 6 \times \sqrt 6 }}$
So our that term will take a new form:
$\Rightarrow \dfrac{{15\sqrt 6 }}{6}$
Now we will canceling all the possible terms or in simple dividing the numerator and denominator by 3 we will be getting:
$\Rightarrow \dfrac{{5\sqrt 6 }}{2}$
So this will be our final simplification.

Hence the correct answer is $\dfrac{{5\sqrt 6 }}{2}$

Note: While solving these types of question we should always keep in mind that we are not much familiar with the roots in denominator or simply it cause us little difficulty to solve the root when it is in denominator so we are telling it as simplification or else we can also keep it in that form.