# How do you simplify #(x sqrt 18) - (3 sqrt(8x^2))#?

Given the radical expression:

Hence,

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To simplify the expression (x√18) - (3√(8x^2)), we can first simplify the square roots and then combine like terms.

The square root of 18 can be simplified as follows: √18 = √(9 * 2) = √9 * √2 = 3√2

The square root of 8x^2 can be simplified as follows: √(8x^2) = √(4 * 2 * x^2) = √4 * √2 * √x^2 = 2√2 * x

Now, substituting these simplified square roots back into the original expression, we have: (x√18) - (3√(8x^2)) = (x * 3√2) - (3 * 2√2 * x) = 3x√2 - 6x√2 = (3x - 6x)√2 = -3x√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.

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