You can find the wavelength at which a star radiates the most energy using Wien's Displacement Law:

λ_max = b / T

Where:

* λ_max is the wavelength of maximum radiation (in meters)

* b is Wien's displacement constant, approximately 2.898 × 10^-3 m·K

* T is the temperature of the star (in Kelvin)

Let's plug in the given temperature:

* λ_max = (2.898 × 10^-3 m·K) / (36000 K)

* λ_max ≈ 8.05 × 10^-8 m

Converting this to nanometers (nm):

* λ_max ≈ 80.5 nm

Therefore, a star with a surface temperature of 36,000 K will radiate the most energy at a wavelength of approximately 80.5 nanometers. This wavelength falls within the extreme ultraviolet (EUV) range of the electromagnetic spectrum.