Simplify the following conjugate:
| 3 | |
| 2+√6 |
Remove the radical in the denominator
Multiply top and bottom by the conjugate
| 3(2-√6) | |
| (2+√6)(2-√6) |
Simplify the denominator using FOIL:
2(2) - 2√6 + 2√6 - √6√6
Cancelling the 2√6 terms
| 3(2) - 3√6 | |
| 22 - √62 |
| 6 - 3√6 | |
| 4 - 6 |
| 6 - 3√6 | |
| -2 |
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
