How do you simplify #5sqrt3(6sqrt10-6sqrt3)#?
We essentially have the following
Which can be simplified if we multiply the integers and square roots together, respectively. We'll get
Which simplifies to
Hope this helps!
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To simplify the expression 5√3(6√10 - 6√3), we can use the distributive property.
First, distribute 5√3 to both terms inside the parentheses:
5√3 * 6√10 = 30√30
5√3 * -6√3 = -30√9
Simplifying further:
30√30 - 30√9
√30 is not simplified, but √9 simplifies to 3:
30√30 - 30 * 3
30√30 - 90
Therefore, the simplified expression is 30√30 - 90.
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To simplify (5\sqrt{3}(6\sqrt{10} - 6\sqrt{3})), you can distribute (5\sqrt{3}) to both terms inside the parentheses:
[5\sqrt{3}(6\sqrt{10} - 6\sqrt{3}) = 30\sqrt{30} - 30\sqrt{9}]
Since (\sqrt{9} = 3), the expression further simplifies to:
[30\sqrt{30} - 30(3)]
Finally, multiplying (30) by (3), we get:
[30\sqrt{30} - 90]
So, (5\sqrt{3}(6\sqrt{10} - 6\sqrt{3})) simplifies to (30\sqrt{30} - 90).
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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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