Question

Fill in the blank to complete the following sentence.

The two roots a+√b and a-√b are called _______ radicals.

Answer 1

Conjugate.

Explanation:

The difference is in the signs. They are conjugate radicals.

Answer 2

Conjugate radicals.

Explanation:

The two roots a+√b and a-√b are called Conjugate radicals.

Just like in the complex number system where we have complex conjugates such as of 4+7i and 4 - 7i, the radicals also have their conjugate radicals. The conjugate radical of a+√b is simply obtained by changing the sign of the radical part of the expression to obtain a-√b. Therefore, the two expressions given are conjugate radicals