Why does the definition of a square root for a number not include its solution's negative counterpart?
1522
Is $\sqrt{64}$ considered $8$? or is it $8,-8$?
97952
Square root of 1 is (not) -1
86603
Infinite square-rooting
51191
Does a negative number really exist?
110661
When does $\sqrt{a b} = \sqrt{a} \sqrt{b}$?
64262
cubic root of negative numbers
68315
Why doesn't multiplying square roots of imaginary numbers follow $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$?
150624
Why does the square root of a square involve the plus-minus sign?
70660
Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
84315
Why can't polynomials have negative exponents or division by a variable
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
95449
What is the square root of "$i$"?
18911
Finding real roots of negative numbers (for example, $\sqrt[3]{-8}$)
4946
Non-existence of irrational numbers?
7415
why only square root approach to check number is prime
66364
Why is $(\sqrt{2}+\sqrt{3})^{2008}$ so close to an integer?
33184
Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends