How do you perform the operation and write the result in standard form given #sqrt(-6)*sqrt(-2)#?
Exercise some caution!
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To perform the operation sqrt(-6) * sqrt(-2) and write the result in standard form, you can first simplify each square root separately:
sqrt(-6) = sqrt(6)i sqrt(-2) = sqrt(2)i
Then, multiply the simplified forms together:
(sqrt(6)i) * (sqrt(2)i) = sqrt(6*2)i^2
Simplify the expression further:
sqrt(12)i^2
Since i^2 = -1, substitute -1 into the expression:
sqrt(12)(-1)
Which simplifies to:
-sqrt(12)
Now, express sqrt(12) in terms of its factors:
sqrt(12) = sqrt(4 * 3) = sqrt(4) * sqrt(3) = 2 * sqrt(3)
Therefore, the final result in standard form is:
-2*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.
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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