Question

simplify the radical expression.

1. $sqrt{44} + 2sqrt{11}$

Explanation:

Step1: Factor radicand of $\sqrt{44}$

$\sqrt{44} = \sqrt{4 \times 11}$

Step2: Simplify the radical

$\sqrt{4 \times 11} = \sqrt{4} \times \sqrt{11} = 2\sqrt{11}$

Step3: Combine like radicals

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

Step4: Calculate the sum

$(2+2)\sqrt{11} = 4\sqrt{11}$

Answer:

$4\sqrt{11}$