Simplify the following conjugate:
Remove the radical in the denominator
Multiply top and bottom by the conjugate
| 5(7+√3) | |
| (7-√3)(7+√3) |
Simplify the denominator using FOIL:
7(7) - 7√3 + 7√3 - √3√3
Cancelling the 7√3 terms
| 5(7) - 5√3 | |
| 72 - √32 |
| 35 - 5√3 | |
| 49 - 3 |
| 35 - 5√3 | |
| 46 |
Final Answer
How does the Conjugates Calculator work?
Free Conjugates Calculator - Simplifies a fraction with conjugates in the denominator
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What 2 formulas are used for the Conjugates Calculator?
For a fraction a/(b + √c) we multiply top and bottom by (b - √c) to remove the radical from the denominatorFor more math formulas, check out our Formula Dossier
What 6 concepts are covered in the Conjugates Calculator?
conjugateA term formed by changing the sign between two terms in a binomial.denominatorThe bottom portion of a fraction. For a/b, b is the denominatorfractionhow many parts of a certain size exista/b where a is the numerator and b is the denominatornumeratorthe number above the line in a common fractionsimplifyreducing the expression/fraction/problem in a simpler form.square roota factor of a number that, when multiplied by itself, gives the original number
√x
Example calculations for the Conjugates Calculator
Conjugates Calculator Video
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