# How do you simplify #sqrt18 div sqrt(8 - 3)#?

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To simplify sqrt18 div sqrt(8 - 3), we can simplify each square root separately and then divide the results.

First, let's simplify sqrt18. We can rewrite 18 as 9 * 2, and since 9 is a perfect square, we can take its square root. The square root of 9 is 3, so sqrt18 simplifies to 3sqrt2.

Next, let's simplify sqrt(8 - 3). We subtract 3 from 8, which gives us 5. The square root of 5 cannot be simplified further, so sqrt(8 - 3) remains as sqrt5.

Now, we can divide the simplified square roots. 3sqrt2 div sqrt5 can be written as (3/1) * (sqrt2/sqrt5). To simplify this further, we rationalize the denominator by multiplying both the numerator and denominator by sqrt5. This gives us (3 * sqrt2 * sqrt5) / (1 * sqrt5 * sqrt5).

Simplifying the expression, we get (3 * sqrt(2 * 5)) / (1 * 5), which simplifies to (3 * sqrt10) / 5.

Therefore, sqrt18 div sqrt(8 - 3) simplifies to (3 * sqrt10) / 5.

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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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