Question

Rationalize the following denominator and simplify 5 + root 6 upon 5 minus root 6

Answer 1

-root 6 is 5+root6.

So,

(5+root6)(5+root6)/ (5-root6)(5+root6)

= (5+root6)^2/ (5)^2-(root6)^2

=(5)^2 +2*5*root6+ (root6)^2/ 25- 6

=25+10* root6+ 6/ 19

=31+ 10* root6/19

Hope it will help you

Answer 2

Step-by-step explanation:

Rationalizing factor of 5-root 6 is 5+root6.

So,

(5+root6)(5+root6)/ (5-root6)(5+root6)

= (5+root6)^2/ (5)^2-(root6)^2

=(5)^2 +2*5*root6+ (root6)^2/ 25- 6

=25+10* root6+ 6/ 19

=31+ 10* root6/19