Question

rationalize the denominator

Answer 1

\[\frac{ 6 }{ 7-2+2\sqrt{6}-3\sqrt{6} }\]

Answer 2

\[\frac{ 6 }{ 5-\sqrt6 }\]

Answer 3

\[\frac{ 6 }{ 5-\sqrt6 }\times \frac{ 5+\sqrt6 }{ 5+\sqrt6 }\]

Answer 4

\[\frac{ 6(5+\sqrt6) }{ 25-6 }\]

Answer 5

then just do the subtraction and multiplication, which should result in (30+6sqrt6)/19

Answer 6

wow, thankyou! that made sense!

Answer 7

good, usually for rationalizing the denominator, you just apply a^2 -b^2 = (a+b)(a-b), to eliminate the surds, then you're done.

Answer 8

thanyou :)