Question

Distribute and simplify these radicals. 9" id="TexFormula1" title="\sqrt{12} times(-1+\sqrt{5} )" alt="\sqrt{12} times(-1+\sqrt{5} )" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$-2\sqrt{3} +2\sqrt{15}$

Step-by-step explanation:

When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply $\sqrt{12}$ by $-1$ , getting the answer of $-\sqrt{12}$, which can be further simplified into $-2\sqrt{3}$. Next, looking at $\sqrt{12}$ × $\sqrt{5}$, we get $\sqrt{60}$, which can also be simplified further into $2\sqrt{15}$. Now, adding up these two numbers get $-2\sqrt{3} +2\sqrt{15}$.