### Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

### Rationals Between...

What fractions can you find between the square roots of 65 and 67?

### Consecutive Squares

The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?

# Root to Poly

##### Age 14 to 16 Challenge Level:
Find the polynomial $p(x)$ with integer coefficients such that one solution of the equation $p(x)=0$ is $1+\sqrt{2}+\sqrt{3}$.