The Mathematicians Square[Root]
Geometry
Level
1
A Mathematician has a square of sides length \(\sqrt { 2 }\)
He's very clever and is able to work out the area of the square.
However, he suddenly sees that he can write his answer for the area out in a different way! In the form of:
\(\sqrt { x\sqrt { x\sqrt { x\sqrt { x\sqrt { x.... } } } } } \)
What is the value of x?
by
Ben Farrar