# How do you rationalize the denominator and simplify #8/(3-sqrt2)#?

The answer is

To rationalize the denominator of a fraction, multiply both the numerator and the denominator by the denominator's conjugate.

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To rationalize the denominator and simplify the expression 8/(3-sqrt2), we multiply both the numerator and denominator by the conjugate of the denominator, which is 3+sqrt2. This results in (8 * (3+sqrt2))/((3-sqrt2) * (3+sqrt2)). Simplifying further, we get (24 + 8sqrt2)/(9 - 2). Finally, simplifying the denominator, we have (24 + 8sqrt2)/7.

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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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