(√6 - √3)² + √50

(√6 - √3)² = (√6 - √3)(√6 - √3)
Expanding this using FOIL method:
= (√6 √6) - (√6 √3) - (√3 √6) + (√3 √3)
= 6 - 2√18 + 3
= 9 - 2√18

Now, adding this to √50:
= 9 - 2√18 + √50

Now, we need to simplify √18 and √50:
√18 = √(2 9) = √2 √9 = 3√2
√50 = √(2 25) = √2 √25 = 5√2

Substitute back into the expression:
= 9 - 2(3√2) + 5√2
= 9 - 6√2 + 5√2
= 9 - √2

Final answer: 9 - √2