anonymous 3 years ago rationalize the denominator

1. anonymous

2. tiffanymak1996

$\frac{ 6 }{ 7-2+2\sqrt{6}-3\sqrt{6} }$

3. tiffanymak1996

$\frac{ 6 }{ 5-\sqrt6 }$

4. tiffanymak1996

$\frac{ 6 }{ 5-\sqrt6 }\times \frac{ 5+\sqrt6 }{ 5+\sqrt6 }$

5. tiffanymak1996

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

6. tiffanymak1996

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

7. anonymous

8. tiffanymak1996

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.

9. anonymous

thanyou :)

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