Question

Express in simplest radical form.
8, square root of, 10, end square root, plus, square root of, 10, end square root
8
10
​
+
10
​

Answer
Attempt 1 out of 5

Answer 1

To express \( 8\sqrt{10} + \sqrt{10} \) in simplest radical form, you can factor out the common term, which is \( \sqrt{10} \).

Starting with the original expression:

\[
8\sqrt{10} + \sqrt{10}
\]

Factor out \( \sqrt{10} \):

\[
= (8 + 1)\sqrt{10}
\]

Now, simplify the expression inside the parentheses:

\[
= 9\sqrt{10}
\]

Thus, the final answer is:

\[
\boxed{9\sqrt{10}}
\]