3. a) (√7)² = √7² = |7| = 7
b) (-√5)² = + √5² = + |5| = 5
c) (√2)^3 = √2^3 = √(2²·2) = √2² · 2 = 2√2
d) (√3)^5 = √3^5 = √(3²·3²·3) = √3² · √3² · √3 = 3·3 · √3 = 9√3
e) (2√3)² = 2² · √3² = 4 · 3 = 12
f) (-3√5)^3 = - 3^3 · √5^3 = - 27 · √(5²·5) = - 27·5·√5 = - 135√5
g) -√4² = - |4| = - 4
h) (-√6)^6 = + √6^6 = √(6² · 6² · 6²) = √6² · √6² · √6² = 6·6·6 = 216
i) (2√3 / 3√2)² = (2√3)² / (3√2)² = (2² · √3²) / (3² · √2²) = (4·3) / (9·2) = 2/3