How do you simplify 7div(sqrt6 – 5)?

2 Answers
Mar 24, 2018

7/(sqrt(6)-5)=-7*(sqrt(6)+5)/19

Explanation:

[0]7/(sqrt(6)-5)=(7*(sqrt(6)+5)/((sqrt(6)-5)(sqrt(6)+5))) ,
[1]7/(sqrt(6)-5)=7*(sqrt(6)+5)/(6-25),
[2]7/(sqrt(6)-5)=-7*(sqrt(6)+5)/19

\0/ Here's the answer !

-(7sqrt6+35)/19

Explanation:

Rationalize the denominator (no radicals) by multiplying the numerator and denominator by sqrt6+5.

7/(sqrt(6)-5 * (sqrt(6)+5)/(sqrt(6)+5)

(7sqrt6+35)/-19

-(7sqrt6+35)/19