Linked from
The 14 pages that link to Root mean square, each with the reason it gives.
AmplitudeRelated: For a sinusoidal signal, its value is amplitude divided by the square root of two.
PhasorRelated: Electrical phasors often use RMS magnitudes instead of peak amplitudes.
Reactive powerRelated: RMS voltage and current are used in standard AC power calculations.
Power factorRelated: RMS voltage and current define apparent power in AC circuits.
OscilloscopeRelated: RMS voltage expresses the effective size of an alternating waveform.
AC powerRelated: RMS voltage and current express AC magnitudes in terms comparable to steady DC.