Question

The value of √0.4 is around 0.63,but when we do the sq. root of any number we are supposed to get a smaller than the number rooted. but in this case 0.4 is smaller than 0.63,why?

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Answer 1

Answer:

It is Not Necessary as sometimes the square root of a number is larger than the number itself, as example: square root of (1/4) is (1/2) how about square root of (1/16) is (1/4) many more could be exemplified, but these occur in the range between just less than one, and just larger than zero. note: the square roots of negative numbers involve the square root of negative 1 labeled lower case "I" a dimension perpendicular to the dimension of real numbers and so cannot be compared as larger or smaller than the real numbers. This "I" dimension is often said to be and thought of as the "imaginary" axis , and is a place in electronics , where energy is stored and released to satisfy some equations of reality.

Also, two special case exceptions are:

square root of (1)=1 and square root of (0)=0