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

Question

Accepted Answer

Step:1 ：Multiply the numerator and the denominator by the conjugate of the denominator, which in this case is (sqrt{2}).Step:2 ：This gives us (frac{5 cdot sqrt{2}}{sqrt{2} cdot sqrt{2}}).Step:3 ：Simplify the denominator (sqrt{2} cdot sqrt{2}) to 2.Step:4 ：So the expression becomes (frac{5sqrt{2}}{2}).

Answer

Step: 1 ：Multiply the numerator and the denominator by the conjugate of the denominator, which in this case is (sqrt{2}).Step: 2 ：This gives us (frac{5 cdot sqrt{2}}{sqrt{2} cdot sqrt{2}}).Step: 3 ：Simplify the denominator (sqrt{2} cdot sqrt{2}) to 2.Step: 4 ：So the expression becomes (frac{5sqrt{2}}{2}).

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

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