Question

if a = √3+√2 and b = √3-√2, find the value of (a2+b2)3​

Answer 1

Answer:

1000

Step-by-step explanation:

a^2=3+2+2$\sqrt{6}$=5+2$\sqrt{6}$

b^2=2+3-2$\sqrt{6}$=5-2$\sqrt{6}$

(a^2+b^2)^3​=(5+2$\sqrt{6}$+5-2$\sqrt{6}$)^3

(a^2+b^2)^3  =  (10)^3

(a^2+b^2)^3  = 1000