$48.95 - 32.006 = ?$

What is the value of $4^{3}-3^{2}+6^{2}-5^{2}+8^{2}-7^{2} ?$

If $\frac{1}{N} = \frac{(\sqrt{6} + \sqrt{5})}{(\sqrt{6} - \sqrt{5})},$ what is the value of $N?$

If $\frac{x}{y} = \frac{3}{4},$ the ratio of $(2x + 3y)$ and $(3y - 2x)$ is

If we multiply a fraction by itself and divide the product by the square of its reciprocal,the fraction obtained is $3 \frac{13}{81}$. The original fraction is

If $a = 7 - 4 \sqrt{3}$,the value of $a^{\frac{1}{2}} + a^{-\frac{1}{2}}$ is