( 2+6\sqrt{6}6)/(2- 6\sqrt{6}6 )
asked by guest on Nov 26, 2024 at 6:24 am
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MathBot Answer:
2+62−6≈−9.89897948556635619639456814941178\frac{2 + \sqrt{6}}{2 - \sqrt{6}} \approx -9.898979485566356196394568149411782−62+6≈−9.89897948556635619639456814941178
2+62−6=(2+6)⋅12−6=12−6⋅(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}2−62+6=(2+6)⋅2−61=2−61⋅(2+6)