Question

Which choice is the conjugate of the expression below when x>or equal to -4?

Answer 1

\[\Large {\color{red}{5}}-{\color{blue}{\sqrt{x+4}}}\]
is in the form
\[\Large {\color{red}{A}}-{\color{blue}{B}}\]
where in this case
\[\Large {\color{red}{A}} = {\color{red}{5}}\]
\[\Large {\color{blue}{B}} = {\color{blue}{\sqrt{x+4}}}\]
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In general, the congutage of A+B is A-B
In general, the congutage of A-B is A+B

At least one of the expressions (A or B) will have a radical in them somehow

Answer 2

Ok thank you!

Answer 3

Similar Examples:

The conjugate of \(\Large 9 - \sqrt{x}\) is \(\Large 9 + \sqrt{x}\)

The conjugate of \(\Large 3x + \sqrt{2x}\) is \(\Large 3x - \sqrt{2x}\)

Answer 4

you're welcome

Answer 5

@jim_thompson5910 the sign under the radical does not change correct?

Answer 6

Only the sign between A and B flips (from plus to minus or vice versa). Nothing else changes.