Write with rational exponents
3 square root of x^2
3 x
but I bet you mean
cube root of x^2
which is
x^(2/3)
yes sorry i meant 3 cubed root of x^2
To write 3 times the square root of x^2 with rational exponents, we need to rewrite the square root using a rational exponent. The square root (√) can be expressed as a fractional exponent of 1/2.
So, we can rewrite the expression as:
3 * x^(2/2)
Since 2/2 equals 1, we can simplify it further to:
3 * x^1
And finally, for clarity, we can drop the exponent of 1:
3x
Therefore, 3 times the square root of x^2, written with rational exponents, is simply 3x.