simplify the square root below

Question

simplify the square root below √16x^5

Answer 1

√16x⁵

 

Try to factor the 16 and the x⁵ into one or more factors that are perfect squares:

• 16 = 4*4 = 4²
• x⁵ = x*x*x*x*x = x²*x²*x

 

So:

 

√16x⁵ = √(4²*x²*x²*x) = √4² * √x² * √x² * √x = 4*x*x*√x = 4x²√x