Problem

Rationalize the denominator of the expression \(\frac{5}{\sqrt{2}}\).

Answer

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Answer

\(\frac{5}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{5\sqrt{2}}{2}\)

Steps

Step 1 :Multiply both the numerator and the denominator by \(\sqrt{2}\) to remove the square root from the denominator.

Step 2 :\(\frac{5}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{5\sqrt{2}}{2}\)

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