Question
Rationalize each denominator. Simplify, if possible.$$\frac{25}{5 \sqrt{2}-3 \sqrt{5}}$$
Step 1
The conjugate of $5\sqrt{2}-3\sqrt{5}$ is $5\sqrt{2}+3\sqrt{5}$. So, we multiply the fraction by $\frac{5\sqrt{2}+3\sqrt{5}}{5\sqrt{2}+3\sqrt{5}}$. $$ \frac{25}{5 \sqrt{2}-3 \sqrt{5}} \times \frac{5\sqrt{2}+3\sqrt{5}}{5\sqrt{2}+3\sqrt{5}} $$ Show more…
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