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A square root of a 2 2 matrix M is another 2 by 2 matrix R such that M R2, where R2 stands for the matrix product of R with itself. In general there can be zero, two, four or even an infinitude of square root matrices. In many cases such a matrix R can be obtained by an explicit formula.

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So the square root of a number, times itself, always equals the number  . So I think we should adjust the rule to only apply to the square roots of positive numbers, since you can’t actually get the square root of a negative number. In fact another question might be: Why can’t you take the square root of a negative number? and maybe Why, when two negative numbers are multiplied together, is the result positive? 8k views · View 1 Upvoter · Answer requested by. Mohammad Zamir. Related QuestionsMore Answers Below

The square root of 3 is the positive real number that, when multiplied by itself, gives the number 3. It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. It is denoted by √3. The square root of 3 is an irrational number. It is also known as Theodorus' constant, named after Theodorus of Cyrene, who proved its irrationality.

Is the square root of 2 a fraction? Let us assume that it is, and see what happens. If it is a fraction, then we must be able to write it down as a simplified fraction like this: m/n. (m and n are both whole numbers). And they thought the number line was made up entirely of fractions, because for any two fractions we can always find a fraction in between them (so we can look closer and closer at the number line and find more and more fractions). So because this process has no end, there are infinitely many such points.

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