Mathematics for IGCSE & O level - Surds (Section 2 - No. 30)

Which expression is equal to 3 - 4√2?

(1-√2) - (2-3√2)

(1-√2) + (2-3√2)

(2-3√2) - (1-√2)

(2-3√2) + (1-√2)

(1-√2) - (2-3√2) = -1+2√2. (1-√2) + (2-3√2) = 3-4√2. (2-3√2) - (1-√2) = 1-2√2, and (2-3√2) + (1-√2) = 3-4√2