Problem

Simplify $\frac{2 \sqrt{5}}{\sqrt{10}}$

Answer

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Answer

Final Answer: \(\boxed{\sqrt{2}}\)

Steps

Step 1 ：Given the expression \(\frac{2 \sqrt{5}}{\sqrt{10}}\)

Step 2 ：We can simplify the denominator \(\sqrt{10}\) to \(\sqrt{2*5}\) which is \(\sqrt{2}*\sqrt{5}\)

Step 3 ：Then we can cancel out the \(\sqrt{5}\) in the numerator and denominator

Step 4 ：The simplified expression is approximately 1.414213562373095

Step 5 ：The exact simplified form of the expression should be \(\sqrt{2}\)

Step 6 ：Final Answer: \(\boxed{\sqrt{2}}\)

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