Question

Which expression is equal to 2√ -32 ? 8i√2 −8√2 8√2i −8i√2

Answer 1

The square root of (a * b) is equal to (the square root of a) * (the square root of b) -32 equals 32 * -1; therefore, the square root of -32 equals the square root of 32 times the square root of -1. 32 equals 16 * 2; the square root of 32 equals ? 16 * ?2 equals 4* ?2 The square root of -1 is i. Therefore (2? -32) equals 2 * 4 * i * ?2 = 8i?2