# How do you simplify #sqrt88 * sqrt33#?

Since is a product, conmutativity allows us to reorganize it.

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You factorize both arguments:

Now, increase:

Reorganize:

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To simplify ( \sqrt{88} \times \sqrt{33} ), you can use the property of square roots which states that the product of two square roots is equal to the square root of the product of their radicands.

Therefore,

[ \sqrt{88} \times \sqrt{33} = \sqrt{88 \times 33} ]

Now, calculate the product of 88 and 33:

[ 88 \times 33 = 2904 ]

So,

[ \sqrt{88} \times \sqrt{33} = \sqrt{2904} ]

To simplify ( \sqrt{2904} ), find the prime factorization of 2904:

[ 2904 = 2^3 \times 3 \times 11^2 ]

Now, take out pairs of the same numbers to simplify the square root:

[ \sqrt{2904} = \sqrt{2^2 \times 3 \times 11^2} ]

[ \sqrt{2904} = 2 \times 11 \times \sqrt{3} ]

[ \sqrt{2904} = 22 \sqrt{3} ]

So,

[ \sqrt{88} \times \sqrt{33} = 22 \sqrt{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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