Question
Simplify: 3 square root of 125
Answers
GPT-4o mini
To simplify \( 3 \sqrt{125} \), we first simplify \( \sqrt{125} \).
We know that:
\[
125 = 25 \times 5 = 5^2 \times 5
\]
Thus, we can write:
\[
\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5 \sqrt{5}
\]
Now, we substitute this back into the original expression:
\[
3 \sqrt{125} = 3 \times 5 \sqrt{5} = 15 \sqrt{5}
\]
So, the simplified form of \( 3 \sqrt{125} \) is:
\[
\boxed{15\sqrt{5}}
\]
We know that:
\[
125 = 25 \times 5 = 5^2 \times 5
\]
Thus, we can write:
\[
\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5} = 5 \sqrt{5}
\]
Now, we substitute this back into the original expression:
\[
3 \sqrt{125} = 3 \times 5 \sqrt{5} = 15 \sqrt{5}
\]
So, the simplified form of \( 3 \sqrt{125} \) is:
\[
\boxed{15\sqrt{5}}
\]