How do you simplify #(6-sqrt20) / 2#?
We can split up a square root through the rule that
So,
Thus, the expression equals
We can split up the fraction:
Which equals
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A very slight variation in presentation. Also written with a lot of detail about each step.
Looking for common factors. 6 and 20 are even so have a factor of 2. As the denominator is 2 as well we have a first step in simplification
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To simplify (6 - √20) / 2, we can first simplify the square root of 20. The square root of 20 can be simplified as √(4 × 5), which is equal to 2√5. Therefore, the expression becomes (6 - 2√5) / 2. We can further simplify this by dividing each term by 2, resulting in 3 - √5.
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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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