# Why does #sqrt(x^6)# not equal #x^3#?

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The square root of x^6 does not equal x^3 because the square root of a number raised to an even power does not simplify to the number raised to half of that power. In this case, x^6 can be written as (x^2)^3, and taking the square root of x^6 would result in x^3, not x^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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