Study Guide and Review
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To rationalize a fraction with a binomial denominator, we multiply the numerator and denominator of the fraction by the conjugate of the denominator. We find the conjugate by changing the sign of the second term of the expression.
5sqrt(7)-30/-29
To rationalize a fraction with a binomial denominator, we multiply the numerator and denominator of the fraction by the conjugate of the denominator. We find the conjugate by changing the sign of the second term of the expression.
| Binomial | Conjugate |
|---|---|
| a + b | a - b |
| a - b | a + b |
In this case, the conjugate of the denominator is sqrt(7)-6.
a/b=a * (sqrt(7)-6)/b * (sqrt(7)-6)
(a+b)(a-b)=a^2-b^2