How would I simplify

The spare root of 10(x+3)^3 * the spaure root of 18(x+5)^5

To simplify the expression, let's start by applying some basic rules of exponents and simplifying the square roots separately.

The square root of 10(x+3)^3 can be simplified as follows:
- First, simplify the exponent by distributing it to both terms inside the parenthesis:
(x+3)^3 = (x+3)(x+3)(x+3) = (x^2 + 6x + 9)(x+3)
- Now take the square root of 10(x^2 + 6x + 9)(x+3):
√(10(x^2 + 6x + 9)(x+3))

The square root of 18(x+5)^5 can be simplified similarly:
- Apply the exponent to the term inside the parenthesis:
(x+5)^5 = (x+5)(x+5)(x+5)(x+5)(x+5) = (x^2 + 10x + 25)(x^2 + 10x + 25)(x+5) = (x^4 + 20x^3 + 150x^2 + 500x + 625)(x+5)
- Now take the square root of 18(x^4 + 20x^3 + 150x^2 + 500x + 625)(x+5):
√(18(x^4 + 20x^3 + 150x^2 + 500x + 625)(x+5))

The expression, after simplification, becomes:
√(10(x^2 + 6x + 9)(x+3)) * √(18(x^4 + 20x^3 + 150x^2 + 500x + 625)(x+5))

This is the simplified form of the original expression.