Answer by Ronald LaFleur for Square root of a square
It is a function for the negative choice too. So the idea that the positive root is chosen to form a function is arbitrary. The better approach is to respect, in any root problems, the possibility of...
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Answer by Peter Phipps for Square root of a square
Compare the graph of $y^2 = x$:with that of $y=\sqrt x$:(Pictures courtesy of Wolfram Alpha.)
View ArticleAnswer by Sujaan Kunalan for Square root of a square
$\sqrt{a^2}=|a|=a$. This is because the square root function returns the principal (positive) root.Note that both $a\times a$ and $-a\times-a$ equal $a^2$ though.You may be wondering when do we use the...
View ArticleAnswer by Murwen for Square root of a square
The square root function is defined such that it returns the positive root of a square, otherwise it wouldn't be a function.
View ArticleSquare root of a square
I'm little puzzled with square roots basics which says that square root of a squared number is absolute value of that number. I was in a impression that it would have both positive and negative...
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