Question

Calculati $4\sqrt{98+40 \sqrt{6} }$

Answer 1

4√(98+40√6)=4(5√2+4√3)=20√2+16√3

√(98+40√6)=√(98+√9600)=√(98+√9604-9600)/2+√(98-√9604-9600)/2=
=√(98+√4)/2+√(98-√4)/2=√100/2+√96/2=√50+√48=5√2+4√3