# How do you simplify #sqrt45 + 5sqrt20 + 9sqrt3 + sqrt75#?

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To simplify the expression sqrt(45) + 5sqrt(20) + 9sqrt(3) + sqrt(75), you can first factor out any perfect squares under the square roots and simplify them, then combine like terms.

sqrt(45) = sqrt(9 * 5) = 3sqrt(5) sqrt(20) = sqrt(4 * 5) = 2sqrt(5) sqrt(75) = sqrt(25 * 3) = 5sqrt(3)

Now substitute these simplified expressions back into the original expression:

3sqrt(5) + 5 * 2sqrt(5) + 9sqrt(3) + 5sqrt(3)

= 3sqrt(5) + 10sqrt(5) + 9sqrt(3) + 5sqrt(3)

Now combine like terms:

= (3sqrt(5) + 10sqrt(5)) + (9sqrt(3) + 5sqrt(3))

= 13sqrt(5) + 14sqrt(3)

So, sqrt(45) + 5sqrt(20) + 9sqrt(3) + sqrt(75) simplifies to 13sqrt(5) + 14sqrt(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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