Take out the factor out of the square root: sqrt of (27c^6) where c

Question

Take out the factor out of the square root: sqrt of (27c^6) where c<0?

Iggy Rocko · Accepted Answer

√(27c^6) =
√(9c^6)√3 =
3|c^3|√3
Since we know c < 0, 
3|c^3|√3 = -3c^3√3

DWRead · Answer

√(27c⁶) = √(3³c⁶)
= √(3²·3·(c³)²)
= √3²×√(c³)² × √3
= 3c³√3

Take out the factor out of the square root: sqrt of (27c^6) where c<0?