# How do you evaluate \sqrt { 7+ \sqrt { 2} }?

May 14, 2017

The irrational number sqrt(7+sqrt(2) is about $2.9$; more accurately it's around $2.90072638529956752086287311525 .$

#### Explanation:

It's already "evaluated," like $\pi$, it's a specific real number. I would tell my students to just leave it as an exact value.

If you want an approximation, hit 2 then the √ button, then add 7, then hit the √ button again. You'll find it's about $2.900726385$.

\\ dansmath // strikes again!