simplify. $sqrt{75}$

Explanation:

Step1: Factorize the number inside square - root.

We know that $75 = 25\times3$. So, $\sqrt{75}=\sqrt{25\times3}$.

Step2: Use the property $\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$ ($a = 25$, $b = 3$).

$\sqrt{25\times3}=\sqrt{25}\cdot\sqrt{3}$.

Step3: Calculate $\sqrt{25}$.

Since $5\times5 = 25$, $\sqrt{25}=5$. So, $\sqrt{25}\cdot\sqrt{3}=5\sqrt{3}$.

Answer:

$5\sqrt{3}$