Question

subtract. write your answer in simplest form.
$7\sqrt{60} - 5\sqrt{15}$

Explanation:

Step1: Simplify $\sqrt{60}$

Factor 60: $60 = 4\times15$. So, $\sqrt{60}=\sqrt{4\times15}=\sqrt{4}\times\sqrt{15}=2\sqrt{15}$.

Step2: Substitute back into the expression

The original expression is $7\sqrt{60}-5\sqrt{15}$. Substitute $\sqrt{60}=2\sqrt{15}$: $7\times2\sqrt{15}-5\sqrt{15}=14\sqrt{15}-5\sqrt{15}$.

Step3: Combine like terms

$14\sqrt{15}-5\sqrt{15}=(14 - 5)\sqrt{15}=9\sqrt{15}$.

Answer:

$9\sqrt{15}$