Well, well, well, someone's got a math problem on their hands! Let me break it down for you - if you take a number, square root it, and then double it, and you end up with 32, that number you started with must be 8. So, there you have it, 8 is the magic number in this little math equation of yours.
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Of course, not only can it be a real number but it is a real number. When you take the square root times itself, the result is a number that is real.
Basically, each number is the square root of its square. So, if you square 59, the result will tell you what number you need to take the square root of, to get 59.
When you square a number, you multiply it by itself and the result is the square of that number.When you take the square root of a number, you start with an number and figure out what smaller number would produce your starting number if it were to be multiplied by itself.
No real number multiplied by itself can give a negative result,so no real number can be a square root of -8 .The answer is called an 'imaginary' number. It's [ 2.8284 i ] .The '2.8284' part is the regular square root of 8, rounded, andthe ' i ' is a symbol that means "the square root of -1".
There is no known number that can be squared and produce a negative number since if the number is positive, the result will be positive, and if it's negative the result will still be positive. Accordingly the square roots of negative numbers are normally expressed as a factor of "i" where i is the square root of -1. In that case the square root of -25 is 5i.