Question

What is -4√12+√75 in the simplest radical form?

Answer 1

Answer: -3$\sqrt{3}$

Step-by-step explanation:

-4$\sqrt{12}$ + $\sqrt{75}$

$\sqrt{12}$ can be written as $\sqrt{4}$ x $\sqrt{3}$

which is the same as 2$\sqrt{3}$

Also , $\sqrt{75}$ can be written as $\sqrt{25}$ x$\sqrt{3}$ , which is the same as 5$\sqrt{3}$

Substituting into the main question , we have

-4 (2$\sqrt{3}$ ) + 5$\sqrt{3}$

= -8$\sqrt{3}$ + 5$\sqrt{3}$

= -3$\sqrt{3}$