Question

Simplify 3sqrt -32 x^4 y^6

Answer 1

3 sqrt(-32) x^4 y^6
sqrt(-32) = sqrt(-1) sqrt(32) = i sqrt(32):
3 i sqrt(32) x^4 y^6
sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):
3 i×2^2 sqrt(2) x^4 y^6
2^2 = 4:
3 i×4 sqrt(2) x^4 y^6
3×4 = 12:
Answer: 12 i sqrt(2) x^4 y^6