Question

Which choice is equivalent to the fraction below? Hint: Rationalize thedenominator and simplify.10/√2

Answer 1

The given fraction is:

`\frac{10}{\sqrt[]{2}}`

To rationalize the denominator, multiply numerator and denominator by square root(2) and simplify:

`\frac{10\cdot\sqrt[]{2}}{\sqrt[]{2}\cdot\sqrt[]{2}}=\frac{10\sqrt[]{2}}{(\sqrt[]{2})^2}=\frac{10\sqrt[]{2}}{2}=5\sqrt[]{2}`

The answer is D.