Explain why the square root of a number is defined to be equal to that number to the 1/2 power


Asked by maham237 @ in Mathematics viewed by 313 People

Answered by maham237 @



Well, the reason for this is that it is actually a well known rule:

X ^m/n = n th root of ✔️x^m.

4^1/2 = ✔️4 = 2.

You are simply raising the base to the first number in the fraction and then taking the appropriate root, for example cube root, fourth root, etc depending on the value of the second number in the fraction.

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