Question

simplify the radical expression.

1. $sqrt{28} + sqrt{63}$

Explanation:

Step1: Factor radicals into perfect squares

$\sqrt{28} = \sqrt{4 \times 7}$, $\sqrt{63} = \sqrt{9 \times 7}$

Step2: Simplify each radical

$\sqrt{4 \times 7} = 2\sqrt{7}$, $\sqrt{9 \times 7} = 3\sqrt{7}$

Step3: Combine like radicals

$2\sqrt{7} + 3\sqrt{7} = (2+3)\sqrt{7}$

Answer:

$5\sqrt{7}$