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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 problem?just so you know-example-1
User Novitoll
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1 Answer

2 votes

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

User Bergy
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6.6k points