Question

If a = 1/ 3 -2√2 and b= 1/ 3 + 2√2 then find the value of a² + b ²​

Answer 1

Answer:

146/9or 16.2

Step-by-step explanation:

a²=1/9+8-4√2

b²=1/9+8+4√2

a²+b²=1/9+8-4√2+1/9+8+4√2

=1/9+8+1/9+8

=146/9

Answer 2

Answer:

Step-by-step explanation:

$we\; know\; that \; \\a^2+b^2=(a-b)^2+2ab\\\\so \\a^2+b^2= ((\frac{1}{3}-2\sqrt{2})-(\frac{1}{3}+2\sqrt{2}))^2+2\times (\frac{1}{3}-2\sqrt{2})\times (\frac{1}{3}+2\sqrt{2})\\\\=(-4\sqrt{2})^2+2\times (\frac{1}{9}-8)\\\\32+2\times \frac{-71}{9}\\32+\frac{-142}{9}\\\\\frac{146}{9}$