How do you simplify #sqrt162 + 11sqrt243 -7sqrt128 + sqrt192#?
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To simplify the expression sqrt162 + 11sqrt243 - 7sqrt128 + sqrt192, we can simplify each square root individually and then combine like terms.
First, let's simplify the square roots: sqrt162 = 9sqrt2 sqrt243 = 9sqrt3 sqrt128 = 8sqrt2 sqrt192 = 8sqrt3
Now, let's substitute these simplified square roots back into the expression: 9sqrt2 + 11(9sqrt3) - 7(8sqrt2) + 8sqrt3
Next, let's simplify the coefficients: 9sqrt2 + 99sqrt3 - 56sqrt2 + 8sqrt3
Now, let's combine like terms: (9sqrt2 - 56sqrt2) + (99sqrt3 + 8sqrt3) -47sqrt2 + 107sqrt3
Therefore, the simplified expression is -47sqrt2 + 107sqrt3.
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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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