Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 26, 2023

Find the expression equivalent to $\frac{5}{\sqrt{13}}$ .

STEP 1

Assumptions1. We are given the expression $\frac{5}{\sqrt{13}}$ . We need to rationalize the denominator

STEP 2

To rationalize the denominator, we multiply the numerator and denominator by the square root of the denominator.
$\frac{5}{\sqrt{13}} \times \frac{\sqrt{13}}{\sqrt{13}}$

STEP 3

This simplifies to $\frac{5\sqrt{13}}{13}$ So, $\frac{5}{\sqrt{13}} = \frac{5\sqrt{13}}{13}$ .

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