If we write sqrt(2) + sqrt(3) + 1/(2*sqrt(2) + 3*sqrt(3)) in the form (a*sqrt(2) + b*sqrt(3))/c such that a, b, and c are positive integers and c is as small as possible, then what is a + b + c?
If we write √2+√3+1(2√2+3√3) in the form (a√2+b√3)c such that a, b, and c are positive integers and c is as small as possible, then what is a + b + c?
√2+√3+1(2√2+3√3)=√2+√3+1(2√2+3√3)∗(2√2−3√3)(2√2−3√3)=√2+√3+(2√2−3√3)(8−27)
You can finish it.
