How do find the quotient of #(3 - sqrt3) /( sqrt3)#?
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To find the quotient of (3 - sqrt3) / sqrt3, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is (sqrt3 + sqrt3). This gives us:
[(3 - sqrt3) * (sqrt3 + sqrt3)] / [(sqrt3) * (sqrt3 + sqrt3)]
Simplifying this expression, we get:
[(3sqrt3 + 3sqrt3 - sqrt3 * sqrt3 - sqrt3 * sqrt3)] / [(sqrt3 * sqrt3 + sqrt3 * sqrt3)]
Combining like terms and simplifying further:
[6sqrt3 - 3] / [3 + 3]
Finally, simplifying the expression:
(6sqrt3 - 3) / 6
Therefore, the quotient of (3 - sqrt3) / sqrt3 is (6sqrt3 - 3) / 6.
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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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