Question

simplify the radical expression.

1. $sqrt{75} + sqrt{3}$

Explanation:

Step1: Simplify $\sqrt{75}$

Factor 75 into $25 \times 3$, so $\sqrt{75} = \sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3} = 5\sqrt{3}$

Step2: Combine like radicals

Add the simplified term to $\sqrt{3}$: $5\sqrt{3} + \sqrt{3} = (5+1)\sqrt{3}$

Answer:

$6\sqrt{3}$