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Rationalisation

What is the c...

Question

What is the conjugate of the binomial surd $5 + \sqrt{3}$

A

5 - \sqrt{3}

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B

3 + \sqrt{5}

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C

\sqrt{5} + \sqrt{3}

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D

\sqrt{5} - \sqrt{3}

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Solution

The correct option is D $5 - \sqrt{3}$
The complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.
The conjugate of $5 + \sqrt{3}$ is $5 - \sqrt{3}$ .
Option A is correct.

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