Question

What is the exact value for the expression √52-√13+√117? Simplify if possible.4√13√132√398√39

Answer 1

Use the following property of the roots to find the answer if the problem.

`\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}`
`\begin{gathered} \sqrt[]{52}-\sqrt[]{13}+\sqrt[]{117} \\ \sqrt[]{4\cdot13}-\sqrt[]{13}+\sqrt[]{9\cdot13} \\ \sqrt[]{4}\cdot\sqrt[]{13}-\sqrt[]{13}+\sqrt[]{9}\cdot\sqrt[]{13} \\ 2\sqrt[]{13}-\sqrt[]{13}+3\sqrt[]{13} \\ 4\sqrt[]{13} \end{gathered}`

The right answer is the first option.