Perform the indicated operation, and express the answer in simplest form with a rationalized denominator. $$\frac{\sqrt{5}-7}{\sqrt{2}-5\sqrt{5}}$$ The simplified expression is (Simplify your answer. Type an exact answer, using radicals as needed.) example Clear all
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Step 1
To rationalize the denominator, we multiply both the numerator and the denominator by the conjugate of the denominator. The conjugate of $$\sqrt{2}-5\sqrt{5}$$ is $$\sqrt{2}+5\sqrt{5}$$. Show more…
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Key Concepts
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