#(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8)# Multiply and Simplify?
Use the FOIL method. https://tutor.hix.ai
Simplify.
Prime factorize the radicands.
Simplify.
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To multiply and simplify (sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8), we can use the FOIL method.
First, multiply the first terms: (sqrt 5) * (sqrt 5) = 5. Next, multiply the outer terms: (sqrt 5) * (-sqrt 8) = -sqrt 40. Then, multiply the inner terms: (-sqrt 7) * (sqrt 5) = -sqrt 35. Finally, multiply the last terms: (-sqrt 7) * (-sqrt 8) = sqrt 56.
Combining these terms, we have: 5 - sqrt 40 - sqrt 35 + sqrt 56.
To simplify further, we can simplify the square roots: sqrt 40 = 2sqrt 10, sqrt 35 = sqrt 7 * sqrt 5, and sqrt 56 = 2sqrt 14.
Substituting these values, the simplified expression is: 5 - 2sqrt 10 - sqrt 7 * sqrt 5 + 2sqrt 14.
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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.
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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