How do you rationalize the denominator and simplify #(18sqrt24)/(-3sqrt8)#?
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To rationalize the denominator and simplify the expression (18sqrt24)/(-3sqrt8), we can follow these steps:
Step 1: Simplify the square roots inside the numerator and denominator:
- sqrt(24) can be simplified as sqrt(4 * 6), which equals 2sqrt(6).
- sqrt(8) can be simplified as sqrt(4 * 2), which equals 2sqrt(2).
Step 2: Substitute the simplified square roots back into the expression:
- (18 * 2sqrt(6))/(-3 * 2sqrt(2))
Step 3: Simplify the expression further by canceling out common factors:
- 18/(-3) = -6
- sqrt(6)/sqrt(2) can be simplified as sqrt(3).
Step 4: Combine the simplified terms:
- The final simplified expression is -6sqrt(3).
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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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