Find the Degree -r^2+r^4 square root of 3-2r^5

$- r^{2} + r^{4} \sqrt{3} - 2 r^{5}$

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- r^{2} \to 2$

$r^{4} \sqrt{3} \to 4$

$- 2 r^{5} \to 5$

The largest exponent is the degree of the polynomial.

$5$