# $\sqrt 2+ \sqrt{3} \approx 3.14$ [duplicate]

The square $$\sqrt 2+ \sqrt{3} \approx 3.14$$ Is this a coincidence or is their some mathemtical significance?

## marked as duplicate by Asaf Karagila♦, Git Gud, JimmyK4542, Hakim, beep-boopSep 12 '14 at 18:01

• Just a coincidence. $\pi$ is transcendental, while $\sqrt{2}+\sqrt{3}$ is algebraic. – mweiss Sep 12 '14 at 17:56
• $\pi$ is $not$ equal to $3.14$! – LearningMath Sep 12 '14 at 17:58
I think that this and this are fairly relevant here. It is the case that $\sqrt 2 + \sqrt 3 \approx 3.14 \approx \pi$, but it is not the case that $\sqrt 2 + \sqrt 3 = \pi$.