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How do you simplify #(sqrt 5 - 2)(sqrt 5 - 4)#?

Answer 1

Savannah Anderson

I found: #13-6sqrt(5)#

You can multiply to get: #(sqrt(5)-2)(sqrt(5)-4)=sqrt(5)sqrt(5)-4sqrt(5)-2sqrt(5)+8=# #=5-6sqrt(5)+8=13-6sqrt(5)#

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Answer 2

Hazel Anglin

To simplify the expression (sqrt 5 - 2)(sqrt 5 - 4), you can use the FOIL method. FOIL stands for First, Outer, Inner, Last.

First, multiply the first terms: (sqrt 5)(sqrt 5) = 5. Outer, multiply the outer terms: (sqrt 5)(-4) = -4sqrt 5. Inner, multiply the inner terms: (-2)(sqrt 5) = -2sqrt 5. Last, multiply the last terms: (-2)(-4) = 8.

Combine the results: 5 - 4sqrt 5 - 2sqrt 5 + 8.

Simplify further: 5 + 8 - 4sqrt 5 - 2sqrt 5.

Combine like terms: 13 - 6sqrt 5.

Therefore, the simplified expression is 13 - 6sqrt 5.

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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.