# How do you simplify #sqrt(6x^4) times sqrt(12x^3) #?

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To simplify sqrt(6x^4) times sqrt(12x^3), we can combine the square roots and simplify the expression.

First, we can simplify the numbers under the square roots. The square root of 6 can be simplified to 2sqrt(3), and the square root of 12 can be simplified to 2sqrt(3).

Next, we can simplify the variables. The x^4 and x^3 can be combined by adding their exponents, resulting in x^7.

Combining the simplified numbers and variables, we have 2sqrt(3) times 2sqrt(3) times x^7.

Multiplying the numbers, we get 4 times 3, which is 12.

Therefore, the simplified expression is 12x^7.

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To simplify sqrt(6x^4) times sqrt(12x^3), you can use the properties of square roots. First, you multiply the terms inside the square roots together and then simplify if possible.

sqrt(6x^4) times sqrt(12x^3) = sqrt(6x^4 * 12x^3)

= sqrt(72x^7)

= sqrt(36x^6 * 2x)

= sqrt(36x^6) * sqrt(2x)

= 6x^3 * sqrt(2x)

So, the simplified expression is 6x^3 * sqrt(2x).

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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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