Respuesta :
[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;
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