What's the square root of 6x×3x^2

Question

What is the square root of 6x×3x^2

Answer 1

First, notice that 6x(3x²) = 18x³. Also, 6x(3x²) = 2×3×x×3×x×x = 2×3×3×x×x×x. This will help you simplify your answer.

 

 

 

Taking the square root, you get √(18x³).

 

(In fractional exponents, by the way, this is actually equal to (18x³)^1/2, or 18^1/2x^3/2. That's not the same as (18x)^3/2.)

 

 

 

We can simplify that by taking one of any pair of factors out of the radical:

 

√(2×3×3×x×x×x) = 3x√(2x)

Answer 2

(18x)^3/2