#(sqrt 5 - sqrt 7) (sqrt 5 - sqrt 8)# Multiply and Simplify?

Answer 1

#(sqrt5-sqrt7)(sqrt5-sqrt8)=color(blue)(5-2sqrt10-sqrt35+2sqrt14#

#(sqrt5-sqrt7)(sqrt5-sqrt8)#

Use the FOIL method. https://tutor.hix.ai

#(sqrt5sqrt5)-(sqrt5sqrt8)-(sqrt5sqrt7)+(sqrt7sqrt8)#

Simplify.

#5-sqrt40-sqrt35+sqrt56#

Prime factorize the radicands.

#5-sqrt(2*2*2*5)-sqrt(5*7)+sqrt(2*2*2*7)#

Simplify.

#5-2sqrt10-sqrt35+2sqrt14#
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Answer 2

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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Answer from HIX Tutor

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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