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[tex]\dfrac{5}{\sqrt{13}}=\frac{5}{\sqrt{13}}\cdot\dfrac{\sqrt{13}}{\sqrt{13}}=\dfrac{5\sqrt{13}}{13}\\\\Used:\ \sqrt{a}\cdot\sqrt{a}=a[/tex]

We have been given an expression as;5/13√13. it is found that 5√26/13 is the correct answer.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

we have been given an expression as;

5/13√13

Then 5√2/√13 multiply the nominator and denominator by √13 to rationalize the denominator;

5√2√13/√13√13

But ( √13×√13=13)

So, 5√26/13

There is answer in multiple choice but this is the correct one.

Hence, 5√26/13 is the correct answer.

Learn more about simplification of an expression;

https://brainly.com/question/17579585

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