Question

Hey there Ms or Mr could you please help me out with this problem?just so you know, this is Pythagorean theorem & Simplifying Radicals

Answer 1

`B)10\sqrt[]{5}`

Step-by-step explanation

remember this propertie

`\sqrt[]{ab}=\sqrt[]{a}\cdot\sqrt[]{b}`

then,you can write 500 as 5*100

`\begin{gathered} \sqrt[]{500} \\ \sqrt[]{500}=\sqrt[]{100\cdot5} \\ \sqrt[]{500}=\sqrt[]{100}\cdot\sqrt[]{5} \\ \sqrt[]{500}=10\sqrt[]{5} \end{gathered}`

so, the answer is

`B)10\sqrt[]{5}`

I hope this helps you