Question
What is √75 in simplified form?
Answers
Answered by
GPT-4o mini
To simplify \( \sqrt{75} \), we start by factoring 75 into its prime factors:
\[
75 = 25 \times 3 = 5^2 \times 3
\]
Now we can apply the square root:
\[
\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}
\]
Thus, the simplified form of \( \sqrt{75} \) is:
\[
\boxed{5\sqrt{3}}
\]
\[
75 = 25 \times 3 = 5^2 \times 3
\]
Now we can apply the square root:
\[
\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}
\]
Thus, the simplified form of \( \sqrt{75} \) is:
\[
\boxed{5\sqrt{3}}
\]