# How do you rationalize the denominator and simplify #14/ (sqrt7-sqrt5)#?

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To rationalize the denominator and simplify the expression 14/ (sqrt7-sqrt5), we can multiply both the numerator and denominator by the conjugate of the denominator, which is sqrt7+sqrt5. This will eliminate the square root in the denominator.

By applying the conjugate, we get: 14(sqrt7+sqrt5) / ((sqrt7-sqrt5)(sqrt7+sqrt5))

Simplifying further: 14(sqrt7+sqrt5) / (7 - 5)

The denominator simplifies to 2, so the final simplified expression is: 7(sqrt7+sqrt5)

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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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