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Either:

when given a fraction with a surd as the denominator, rationalising the denominator;

Or,

when given a fraction with a complex denominator, to make the denominator real.

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14y ago
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Q: What's first step is to multiply top and bottom of the conjugate of the denominator?
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Why doesnt the denominator change when you find the difference between to fractions?

the best way i can answer that question is this: whats 2+1? it's 3. really, 2=2/1, and 1= 1/1. the denominatior doesn't change there either, because they're the same. the only time a denominator changes in fractions is when the denominators are different. (i.e. 2/3 + 3/5= 19/15. [in this case, you have to multiply the 2 on the top of 2/3 with the 5 on the bottom of 3/5. then you have to multiply the 3 on the bottom of 2/3 with the 3 on the top of the 3/5. the product of the 2 numbers are ther numerator; on top. the multiply the 3 and the 5 on the bottom of the fractions: the product of those numbers are the denominator: what go on the bottom of the fraction. 2x5=10, and 3x3=9. 10+9=19 (goes on top). then, 3x5-15 (goes on bottom.) the answer would be 19/15. i hope that answers your question.


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