Question

simplify the radical expression.

1. $sqrt{242} + sqrt{200}$

Explanation:

Step1: Factor out perfect squares

$\sqrt{242} = \sqrt{121 \times 2}$, $\sqrt{200} = \sqrt{100 \times 2}$

Step2: Simplify each radical

$\sqrt{121 \times 2} = 11\sqrt{2}$, $\sqrt{100 \times 2} = 10\sqrt{2}$

Step3: Combine like radicals

$11\sqrt{2} + 10\sqrt{2} = (11+10)\sqrt{2}$

Answer:

$21\sqrt{2}$