Simplify the following conjugate:
| 5 | |
| 7-√3 |
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
This calculator has 1 input.
This calculator has 1 input.
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 denominator
What 6 concepts are covered in the Conjugates Calculator?
- conjugate
- A term formed by changing the sign between two terms in a binomial.
- denominator
- The bottom portion of a fraction. For a/b, b is the denominator
- fraction
- how many parts of a certain size exist
a/b where a is the numerator and b is the denominator - numerator
- the number above the line in a common fraction
- simplify
- reducing the expression/fraction/problem in a simpler form.
- square root
- a factor of a number that, when multiplied by itself, gives the original number
√x
