Question

(✓3+✓2)^6 + (✓3 -✓2)^6​

Answer 1

Step-by-step explanation:

(✓3+✓2)^6 + (✓3 -✓2)^6=((✓3+✓2)^2) ^3+ ((✓3 -✓2)^2)^3

=(✓3+✓2 + ✓3 -✓2)((✓3+✓2)^2 - (✓3+✓2)(✓3 -✓2)+ (✓3 -✓2)^2)

=2 ✓3( 3 + 2 + 2 ✓3 ✓2 - (3-2) + 3 + 2 - 2 ✓3 ✓2)

=2 ✓3(9)

=18 ✓3