Question

I have a question about conjugation of radicals

Answer 1

Would \[a -\sqrt{a-1}\] = \[a +\sqrt{a+1}\] ???

Answer 2

Or would it be \[a +\sqrt{a-1}\]

Answer 3

Conjugate is some number that would cancel a square root for the denominator when multiplied, for example

\[\huge\color{blue}{ \frac{3\sqrt{5}+2}{4-\sqrt{15}} }\]

\[\huge\color{blue}{ 4+\sqrt{15} }\] is the conjugate so multiply top and bottom by it, and the radical will cancel.

Do you have a specific equation?

Answer 4

I meant to say the radical on the bottom will cancel.

Answer 5

I was just asked to conjugate \(a -\sqrt{a-1}\) lol

Answer 6

The answer to your question is

yes the first conjugate is correct.

Answer 7

\[a+\sqrt{a-1}\]

Answer 8

Ok so anything inside the radical stays the way it is?

Answer 9

you don't change anything inside the square root
it's

A + sqrt{ B } the conjungate will be A- sqrt { B }
your A is a, and your B is a-1

Answer 10

anything inside the radical is not changed

Answer 11

Thank you so much Solomon you are a great help as always :D

Answer 12

You welcome!