Question

a) (√3-√2)²
b) (√2)¹⁶
c) √√2⁸
d) √2.√2

Answer 1

a) (√3-√2)²  = = (√3)² - 2√3×√2 + (√2)² = 3 - 2√6 + 2 = 5 - 2√6

b) (√2)¹⁶   = ((√2)²)⁸ = 2⁸ = 256

c) √√2⁸   = √√(2²×2⁶) = √2⁴ = √(2²×2²) = 2² = 4

d) √2×√2  = (√2)² = 2