Question

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.

Answer 1

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

Answer 2

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

Answer 3

I approve

Answer 4

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

Answer 5

Why is it 7 + 4√3?