# How do you rationalize the denominator in #(7+sqrt5)/(7-sqrt5)#?

See a solution process below:

We can rationalize the denominator by using this rule for multiply quadratics:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- There is a fraction such that if 3 is added to the numerator, its value will be 1/3, and if 7 is subtracted from the denominator, its value will be 1/5. What is the fraction? Give the answer in the form of a fraction.

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