Question

The expression above should be further simplified for which value of x?

Answer 1

Answer: A) 35

Step-by-step explanation:

We have the following:

$\sqrt{215 x}$

Now, $215$ is made up of two factors, $43$ and $5$:

$215=(43)(5)$

So, we have to choose a number for x containing a factor of $43$ and or $5$. In this case, the best option is $35=(7)(5)$:

Hence:

$\sqrt{215 (35)}=\sqrt{(43)(5)(7)(5)}$

$\sqrt{215 (35)}=\sqrt{(25)(43)(7)}=\sqrt{25} \sqrt{301}$

Finally:

$\sqrt{215 (35)}=5 \sqrt{301}$