Square roots: $ -\sqrt{a} = \sqrt{b}$
3955
Square roots -- positive and negative
51729
Solve the following equation: $\sqrt {\sin x - \sqrt {\cos x + \sin x} } = \cos x$
81875
why is $\sqrt{-1} = i$ and not $\pm i$?
1190
Square Root of Rational Number $\frac{A}{B}$
37529
If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational
3390
finding the real values of $x$ such that : $x=\sqrt{2+\sqrt{2-\sqrt{2+x}}}$
126445
Proving the second root of a quadratic equation
110226
How can I find the square root using pen and paper?
84946
If $0<a<b$, prove that $a<\sqrt{ab}<\frac{a+b}{2}<b$
87111
Prove $\sqrt{2}$ is between $\dfrac{a}{b}$ and $\dfrac{a+2b}{a+b}$
98496
Let $a,b \in \mathbb{Q^{+}}$ then $\sqrt{a} + \sqrt{b} \in \mathbb{Q} $ iff $\sqrt{a} \in \mathbb{Q}$ and $\sqrt{b} \in \mathbb{Q}$
118981
Proving $\sqrt{ab} = \sqrt a\sqrt b$
6582
Prove the existence of the square root of $2$.
95449
What is the square root of "$i$"?
128387
Given that $a+b\sqrt[3]{2} +c\sqrt[3]{4} =0$, where $a,b,c$ are integers. Show $a=b=c=0$
38662
If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
101162
Square root of $2$ is irrational