( 2+6\sqrt{6})/(2- 6\sqrt{6} )

asked by guest
on Nov 26, 2024 at 6:24 am



You asked:

Evaluate the expression: 2+626\frac{2 + \sqrt{6}}{2 - \sqrt{6}}

MathBot Answer:

2+6269.89897948556635619639456814941178\frac{2 + \sqrt{6}}{2 - \sqrt{6}} \approx -9.89897948556635619639456814941178


2+626=(2+6)126=126(2+6)\begin{aligned}\frac{2 + \sqrt{6}}{2 - \sqrt{6}}&=\left(2 + \sqrt{6}\right) \cdot \frac{1}{2 - \sqrt{6}}\\&=\frac{1}{2 - \sqrt{6}} \cdot \left(2 + \sqrt{6}\right)\end{aligned}