itsjustme_lol
rationalize the denominator



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itsjustme_lol
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tiffanymak1996
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\[\frac{ 6 }{ 72+2\sqrt{6}3\sqrt{6} }\]

tiffanymak1996
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\[\frac{ 6 }{ 5\sqrt6 }\]

tiffanymak1996
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\[\frac{ 6 }{ 5\sqrt6 }\times \frac{ 5+\sqrt6 }{ 5+\sqrt6 }\]

tiffanymak1996
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\[\frac{ 6(5+\sqrt6) }{ 256 }\]

tiffanymak1996
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then just do the subtraction and multiplication, which should result in (30+6sqrt6)/19

itsjustme_lol
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wow, thankyou! that made sense!

tiffanymak1996
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good, usually for rationalizing the denominator, you just apply a^2 b^2 = (a+b)(ab), to eliminate the surds, then you're done.

itsjustme_lol
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thanyou :)