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The square root of a number x is that number y which, when multiplied by itself, gives the value x.

Depending upon the domain that you are working in, the squareroot may or may not exist. For example, there is no whole number solution to sqrt(3) but there is a solution in the real numbers; there is no real solution to sqrt(-3) but there is a complex solution.

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Q: What is the exact definition for square root?
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What is the square root of a square that has no root?

It's not a square if it has no root. If a number is a square then, by definition, it MUST have a square root. If it did not it would not be a square.


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The exact square root is √6 or 60.5. It is an irrational number and so cannot be expressed in exact form as a decimal number.


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Why is a square root called a square root?

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