Question

add. write your answer in simplest form.
\sqrt{90} + \sqrt{40}

Explanation:

Step1: Simplify $\sqrt{90}$

Factor 90: $90 = 9\times10$. So $\sqrt{90}=\sqrt{9\times10}=\sqrt{9}\times\sqrt{10}=3\sqrt{10}$.

Step2: Simplify $\sqrt{40}$

Factor 40: $40 = 4\times10$. So $\sqrt{40}=\sqrt{4\times10}=\sqrt{4}\times\sqrt{10}=2\sqrt{10}$.

Step3: Add the simplified radicals

$3\sqrt{10}+2\sqrt{10}=(3 + 2)\sqrt{10}=5\sqrt{10}$.

Answer:

$5\sqrt{10}$