Question

The conjugate of the surd 7+ √6 is ________.​

Answer 1

$7+\sqrt{6}$ surd does not have a conjugate.

To find: The conjugate of the surd $7+\sqrt{6}$

Step-by-step explanation:

• A complex number's complex conjugate is a number with an equal real portion and an imaginary part with the same magnitude but opposite sign.

Solution:

When we divide this by the difference of the same two terms, with, $7+\sqrt{6}$ the product is:

⇒ $(7-\sqrt{6})(7+\sqrt{6})=(7)^{2}-(\sqrt{6})^{2}$

∴ $49-4.88=44.12$

Since $44.12$ isn't a rational number, $(7-\sqrt{6})$ cannot be a conjugate of $(7+\sqrt{6})$