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 √(ab)=√(a)√(b),\:\quad \:a\ge 0 ,\:b\ge 0`

`√(2\cdot \:5^2)=√(2)√(5^2)`

`\mathrm{Apply\:the\:laws\:of\:exponents}:\quad √(a^2)=a,\:\quad \:a\ge 0`

`√(5^2)=5`

`=√(2)\cdot \:5`

`\bf{=5√(2) \ === > \ Answer }`

Option C

↓

`\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{MyHeritage} \end{gathered}$}}}`