Question

Show
that (2+√3)(2-√3)(5+root2)
(5-root2) is rational number.​

Answer 1

(2+√3)(2-√3)(5+ √2)
(5-√2)=(2^2-√3^2)(5^2-√2^2)=(4-3)(25-2)=23 and 23 is rational number

Answer 2

(2+3)(2−3)(5+2)(5−2)=>(22−(3)2)(52−(22))=>(4−3)(25−2)=>(1)(23)=>23