Question

find the value of whole root 12+2root6+2root21+2root14​

Answer 1

Answer:

That can be written as -

=>(12+(2*√2*√6)+(2*√3*√7)+(2*√2*√7))^1/2

=>((√2)^2 + (√3)^2 + (√7)^2 +(2*√2*√3)+(2*√3*√7)+(2*√2*√7))^1/2

{(a+b+c)^2 = a^2 + b^2 +c^2 +2ab +2bc +2ca}

On comparing we ge answer as

((√2 + √3 + √7)^2)^1/2

=√2 + √3 + √7