### Rationals Between...

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

### Root to Poly

Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.

### Surds

Find the exact values of x, y and a satisfying the following system of equations: 1/(a+1) = a - 1 x + y = 2a x = ay

# Consecutive Squares

##### Age 14 to 16Challenge Level

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

True or false?