Question

Simplify. √50 OA. 10√5 OB. 2√5 OC. 5√2 OD. 25√2

Answer 1

Decomposition in factors of 50: 2 · 5².

$\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0 ,\:b\ge 0$

$\sqrt{2\cdot \:5^2}=\sqrt{2}\sqrt{5^2}$

$\mathrm{Apply\:the\:laws\:of\:exponents}:\quad \sqrt{a^2}=a,\:\quad \:a\ge 0$

$\sqrt{5^2}=5$

$=\sqrt{2}\cdot \:5$

$\bf{=5\sqrt{2} \ === > \ Answer }$

Option C

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