what is the square root of -3 and180h^4
To find the square root of a negative number, such as -3, we need to use imaginary numbers. The square root of -3 is denoted as √(-3) and is equal to √3i, where i represents the imaginary unit. Therefore, the square root of -3 is √3i.
Now, let's move on to the expression 180h^4. It appears to be an algebraic expression involving a variable, h, raised to the power of 4. To simplify this expression, we can simplify the coefficient, 180, and apply the exponent to the variable, h.
To simplify the coefficient, we can decompose it into its prime factors:
180 = 2 * 2 * 3 * 3 * 5 = 2^2 * 3^2 * 5
Now, we can rewrite the expression as:
180h^4 = 2^2 * 3^2 * 5 * h^4
Since h is raised to the power of 4, we can multiply the exponents:
180h^4 = 2^2 * 3^2 * 5 * h^(2 * 2)
Simplifying further:
180h^4 = 2^2 * 3^2 * 5 * h^2
Therefore, the simplified expression is 4 * 9 * 5 * h^2, which can be written as 180h^2.