How do you rationalize the denominator and simplify #5/(sqrt[3] + sqrt[5])#?
Rationalizing involves multiplying the numerator and the denominator of the expression by the conjugate of the denominator.
Rationalizing
The expression then becomes:
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To rationalize the denominator and simplify 5/(sqrt[3] + sqrt[5]), we multiply both the numerator and denominator by the conjugate of the denominator, which is (sqrt[3] - sqrt[5]). This results in (5 * (sqrt[3] - sqrt[5])) / ((sqrt[3] + sqrt[5]) * (sqrt[3] - sqrt[5])). Simplifying further, we get (5 * sqrt[3] - 5 * sqrt[5]) / (3 - 5). This simplifies to (-5 * sqrt[5] + 5 * sqrt[3]) / (-2).
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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.
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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