Question

Express in simplest radical form.
6, square root of, 7, end square root, minus, square root of, 7, end square root
6
7
​
−
7
​

Answer
Attempt 1 out of 5

Answer 1

To simplify the expression \( 6\sqrt{7} - \sqrt{7} \), we can factor out the common term \( \sqrt{7} \).

1. Start by rewriting the expression:
\[
6\sqrt{7} - \sqrt{7} = (6 - 1)\sqrt{7}
\]

2. Simplify the expression inside the parentheses:
\[
(6 - 1)\sqrt{7} = 5\sqrt{7}
\]

Thus, the expression \( 6\sqrt{7} - \sqrt{7} \) in simplest radical form is:
\[
\boxed{5\sqrt{7}}
\]