What is the conjugate in algebra?
The conjugate can only be found for a binomial. Let a + b be a binomial. Then, the conjugate of a + b is a - b. Let a - b be a binomial, then the conjugate of a - b is a + b.
Notice that conjugates differ only in the sign of the second term.
Number pairs of the form
a + √b and a - √b
√a + √b and √a - √b
are also called conjugates.
Binomials of the form a + bi and a - bi are called complex conjugates.
More examples of conjugates
2 + √5 and 2 - √5
-3 + √7 and -3 - √7
√11 + √13 and √11 - √13
√5 + √3 and √5 - √3
1 - i and 1 + i
3 + 3i and 3 - 3i
The conjugate can be very useful when we are trying to simplify radical expressions or complex numbers.
Feb 02, 18 05:18 PM
These preschool math worksheets will help kids prepare for kindergarten math
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.