Problem

Determine the simplified form of the given expression:
$\frac{\sqrt{4}}{2 \sqrt{20}}$

Answer

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Answer

Simplify the expression to get the final answer: \(\boxed{\frac{1}{2\sqrt{5}}}\)

Steps

Step 1 :Determine the simplified form of the given expression: \(\frac{\sqrt{4}}{2 \sqrt{20}}\)

Step 2 :Simplify the square roots: \(\sqrt{4} = 2\) and \(\sqrt{20} = 2 \sqrt{5}\)

Step 3 :Substitute the simplified square roots into the expression: \(\frac{2}{2 \times 2 \sqrt{5}}\)

Step 4 :Simplify the expression to get the final answer: \(\boxed{\frac{1}{2\sqrt{5}}}\)

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