anonymous 4 years ago Express the ratio of the area of the larger circle to the area of the smaller circle in simplest radical form. Larger circle: radius of 2 + √3, smaller circle's radius: 2-√3.

1. anonymous

|dw:1328377447770:dw|

2. anonymous

The answer is supposed to be: 97 + 56√3

3. dumbcow

$=\frac{\pi(2+\sqrt{3})^{2}}{\pi(2-\sqrt{3})^{2}} = \frac{7+4\sqrt{3}}{7-4\sqrt{3}}$

4. anonymous

I approve

5. dumbcow

then you have to multiply by conjugate to get radical out of denominator

6. anonymous

Why is it 7 + 4√3?

Find more explanations on OpenStudy