Question

Is $3$ times the square root of $15$ divided by $3$ simplified?

Answer 1

Hint: In order to solve this question, first we will express $3$ times the square root of $15$ divided by $3$ in numeric form. Then we will see whether any of the expressions can be cancelled in the denominator and the numerator and hence, by cancelling the common term in the numerator and the denominator we will get the simplified form.

Complete step by step answer:
First we need to write $3$ times the square root of $15$ divided by $3$ in numeric form.This will help us to find out whether the expression is simplified or not. So, $3$ times the square root of $15$ divided by $3$ can be written as ${\displaystyle \frac{3\sqrt{15}}{3}}$. In the above expression, we can clearly see that $3$ in the numerator as well as in the denominator can be cancelled out and this expression can be further simplified.

Hence, we can say that the above expression is not simplified and it can be simplified further. On cancelling $3$ in the numerator as well as in the denominator, we get $\sqrt{15}$. Hence, the final answer is that $3$ times the square root of $15$ divided by $3$ is not simplified as $3$ in the numerator as well as in the denominator can be cancelled out.

Therefore, the simplified form of $3$ times the square root of $15$ divided by $3$ is $\sqrt{15}$.

Note: Although $\sqrt{15}$ is a simplified form of the particular question and $\sqrt{15}$ is the final answer but we can further calculate the value of $\sqrt{15}$ and write it in the solution. So, both the methods are perfectly correct.