Question

if X = √3-√2/√3+√2 and Y= √3+√2/√3-√2 , find the value of X^2 + Y^2 +XY

Answer 1

First rationalise X and Y

X = (✓3-✓2)² / 3-2 = (✓3-✓2)² / 1 = (✓3-✓2)²
Y = (✓3+✓2)² / 3-2 = (✓3+✓2)² / 1 = (✓3+✓2)²

X²+Y²+XY = ( (✓3-✓2)²)² + ( (✓3+✓2)²)² + (✓3-✓2)²* (✓3+✓2)²

From here you need to use simple identities and solve it

Answer 2

Answer:

Step-by-step explanation: