〖√69〗^2= 〖2√3〗^2= 〖3√3〗^2= 〖2√2〗^2=

〖√69〗^2=69 〖2√3〗^2=12 〖3√3〗^2=27 〖2√2〗^2=8

〖√69〗^2=√69*√69=69 〖2√3〗^2=2√3*2√3=√12*√12=12 〖3√3〗^2=3√3*3√3=√27*√27=27 〖2√2〗^2=2√2*2√2=√8*√8=8

√69^2=7^2=49 2√3^2=2√3*2√3=4*3=12 3√3^2=3√3*3√3=9*3=27 2√2^2=2√2*2√2=4*2=8