Question

2,76
5. Rationalize the denominator of the following: 2 root 6 divided by root 2 + root 3

Answer 1

6 √2 -4 √3

Explanation:

Here, we want to rationalize the denominator of the following surdic fraction;

2√6/(√2 + √3)

To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator

The conjugate of the denominator is √2 - √3

So, we have the rationalization as follows;

2 √6(√2-√3)/(√2 + √3)(√2-√3)

Thus, we have

(4√3-6 √2)/(-1)

= 6 √2 -4 √3