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

Hey there Ms or Mr could you please help me out with this problemjust so you know this is Pythagorean theorem amp Simplifying Radicals class=

Respuesta :

[tex]B)10\sqrt[]{5}[/tex]

Explanation

remember this propertie

[tex]\sqrt[]{ab}=\sqrt[]{a}\cdot\sqrt[]{b}[/tex]

then,you can write 500 as 5*100

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

so, the answer is

[tex]B)10\sqrt[]{5}[/tex]

I hope this helps you

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