How would you simplify sqrt (9x^3)?

1 Answer
Rachel
Feb 1, 2016

3xsqrt(x)

Explanation:

We start out with sqrt(9x^3). To solve this we simplify the values into their smallest factors. For 9, that's pretty easy; the smallest it goes is 3*3 or 3^2. x^3 can be simplified to x*x*x or x^2*x.

If we rewrite the expression, it becomes sqrt(3^2*x^2*x). Square root of a square cancels out, like this cancel(sqrt(3^cancel(2).

sqrt(3^2) is just 3. Likewise sqrt(x^2) simplifys to x. Now the expression is 3xsqrtx.

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