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OpenStudy (anonymous):
6 divided by (5 - √3)
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OpenStudy (anonymous):
I got 30 + 6√3 divided by 22, but that's not one of my choices
OpenStudy (anonymous):
yay geerky is here
geerky42 (geerky42):
Multiply both numerator and denominator by the conjugate of the denominator.
OpenStudy (anonymous):
i did that originally and got 30 + 6√3 divided by 25 - √9
geerky42 (geerky42):
Try to simplify it.
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OpenStudy (anonymous):
√9 simplified is 3 so i can simplify the expression to 30 + 6√3 divided by 22
geerky42 (geerky42):
OK, now simplify 30 + 6√3 divided by 22
OpenStudy (anonymous):
i dont know how to simplify that
geerky42 (geerky42):
\[\frac{30 + 6\sqrt{3}}{22} = \frac{30 + 6\sqrt{3}}{2 \cdot 11} = \frac{30}{2 \cdot 11} + \frac{6\sqrt{3}}{2\cdot 11} = \frac{15}{11} + \frac{3\sqrt{3}}{11} = \boxed{\frac{15 + 3\sqrt{3}}{11}}\]
OpenStudy (anonymous):
is that 3√3 in the box?
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geerky42 (geerky42):
\[\Huge \boxed{\frac{15 + 3\sqrt{3}}{11}}\]
geerky42 (geerky42):
Yes.
geerky42 (geerky42):
Is this clear?
OpenStudy (anonymous):
oh so you have to take 2 and 11 out of the expression since its the GCF?
OpenStudy (anonymous):
yeah i get it now, thanks a lot!
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geerky42 (geerky42):
Take 2 out, yeah.
geerky42 (geerky42):
No problem, glad I helped.
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