Question

Simplify square root of 75


25
3
25
3
​



5
3
5
3
​



3
5
3
5
​

Answer 1

To simplify the square root of 75, we can factor 75 into its prime factors:

\[
75 = 25 \times 3 = 5^2 \times 3
\]

Now, we can apply the square root to this factorization:

\[
\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}
\]

Thus, the simplified form of \( \sqrt{75} \) is:

\[
5\sqrt{3}
\]