RMS is a type of average. It is the "root of the mean of the squares". That is, the individual values are squared, the average is taken, and the square root of this is calculated. Since the "individual values" are often continuous - a typical example is a voltage, which continuously changes for example as a sine wave - integration must be used.
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To find the RMS or root mean square, we first square the numbers then add the squares. So for 6 and 24 the sum of the squares is 612 Now we divide by n which is the 2 in this case so 612/2=306 and take the square root of that.=3xsquare root of 24 or about 17.4929
If you mean, the square root of 4 multiplied by the square root of 5, that is 2x5=10 If you mean, the square root of ( 4x25), that is the square root of 100 which is 10
The principal square root is the non-negative square root.
If, by "third square root" you mean cube root, the answer is 7.
If you mean the square root of (4 x 16) the answer is 8 or -8. If you mean (the square root of 4) x 16, the answer is 32 or -32.