Question

which of the following is equivalent to the fraction below after rationalizing the denominator and simplifying?

Answer 1

Given the expression:

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

we can rationalize it by multiplying by sqrt(2)/sqrt(2) to get the following:

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

simplifying, we get:

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

therefore, the equivalent expression is 5*sqrt(2)