Question

√75 + √27 - √48 = express in simplest radical form.

Explanation:

Step1: Simplify each square - root

$\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}$, $\sqrt{27}=\sqrt{9\times3}=3\sqrt{3}$, $\sqrt{48}=\sqrt{16\times3}=4\sqrt{3}$

Step2: Substitute into the original expression

$\sqrt{75}+\sqrt{27}-\sqrt{48}=5\sqrt{3}+3\sqrt{3}-4\sqrt{3}$

Step3: Combine like - terms

$(5 + 3-4)\sqrt{3}=4\sqrt{3}$

Answer:

$4\sqrt{3}$