Question

add. write your answer in simplest form.
$10\sqrt{60} + 5\sqrt{15}$

Explanation:

Step1: Simplify \(10\sqrt{60}\)

Factor 60: \(60 = 4\times15\), so \(\sqrt{60}=\sqrt{4\times15}=\sqrt{4}\times\sqrt{15}=2\sqrt{15}\). Then \(10\sqrt{60}=10\times2\sqrt{15}=20\sqrt{15}\).

Step2: Add the two terms

Now we have \(20\sqrt{15}+5\sqrt{15}\). Since they have the same radical part, we add the coefficients: \((20 + 5)\sqrt{15}=25\sqrt{15}\).

Answer:

\(25\sqrt{15}\)