√6x*√3x^2
I can't tell where your √ ends, is it
√(6x) or √6x the way you typed it
Same problem with the second term.
It is done like this. :√6x
√6x * √3x^2
Ok, taking it the way you typed it ...
= √18 (x^3)
= 3√2 (x^3)
To simplify the expression √6x * √3x^2, we can use the properties of square roots.
First, let's simplify each square root separately.
√6x can be split into two separate square roots: √6 and √x.
Next, let's simplify √3x^2. We can split it as √3 and √x^2.
Since √x^2 equals x, the expression becomes:
√6 * √3 * x * x
The square roots of 6 and 3 cannot be simplified further as they are not perfect square numbers.
Now, we can multiply the terms:
√6 * √3 * x * x = √(6*3) * x * x
The square root of (6*3) is √18.
Therefore, the simplified expression is:
√18 * x * x
Finally, we can simplify the expression further by multiplying the x's:
√18 * x * x = √18 * x^2
And that is the simplified expression for √6x * √3x^2.