Question

express in simplest radical form.
2√200 - 10√2
answer

Explanation:

Step1: Simplify $\sqrt{200}$

$\sqrt{200} = \sqrt{100 \times 2} = 10\sqrt{2}$

Step2: Substitute back to the expression

$2 \times 10\sqrt{2} - 10\sqrt{2} = 20\sqrt{2} - 10\sqrt{2}$

Step3: Combine like radicals

$20\sqrt{2} - 10\sqrt{2} = 10\sqrt{2}$

Answer:

$10\sqrt{2}$