# How do you simplify #sqrt(75)#?

We can simplify radicals using square numbers.

Start by listing the factors:

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To simplify sqrt(75), we first factorize 75 into its prime factors, which are 3 and 5, since 3 * 5 * 5 = 75. Then, we take out pairs of identical prime factors from under the square root. So, sqrt(75) = sqrt(3 * 5 * 5) = sqrt(3 * 25). Since sqrt(25) = 5, sqrt(3 * 25) = 5sqrt(3). Therefore, sqrt(75) simplifies to 5sqrt(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.

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