simplify - square root of 48x^3y^2

Your problem:

√48x^3y^2

Try to break it down as far as you can in order to simplify.

√(16 * 3)(x^2 * x)(y^2)

The square root of 16 is 4. The square root of x^2 is x. The square root of y^2 is y.

Therefore, you end up with this:

4xy√3x --> 3x is left under the square root sign.

I hope this helps.

To simplify the expression sqrt(48x^3y^2), we can break down the number 48 into its factors.

48 can be written as 16 * 3, so we can rewrite the expression as sqrt(16 * 3 * x^3 * y^2).

Next, we can simplify each square root term individually. The square root of 16 is 4, the square root of x^3 is x^(3/2), and the square root of y^2 is y.

So now we have 4x^(3/2)y * sqrt(3).

In some cases, it might be possible to simplify the square root term further if there are perfect square factors, but in this case, sqrt(3) is already in its simplest form.

Therefore, the simplified expression is 4x^(3/2)y * sqrt(3).

I hope this explanation is helpful.