List questions from radicals

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Write solution(s) of $z$ in the form $a + bi$

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Are there any known criteria in order for $\sqrt{a_1+\sqrt{a_2-\sqrt{a_3+\sqrt{a_4-\sqrt{a_5+\ldots}}}}}$ to converge?

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How to solve system of equation, $\sqrt{x-1}+\sqrt{y-1}=4\sqrt 3$, $\sqrt{y-4}+\sqrt{z-4}=4\sqrt3$ and $ \sqrt{x-9}+\sqrt{z-9}=4\sqrt3$ .

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$\sqrt{1-x^2}$ is not a rational function

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Simplest way to solve radical equation $\sqrt{3x+1}-\sqrt{x+4}=1$

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Algebra Problem Olympiad

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Rationalize a fraction.

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How to prove $\frac{a}{b} + \frac{b}{c} + \frac{c}{a}+ \frac{3\sqrt[3]{abc}}{a+b+c}\geq 4 $ using Middle School methods?

Published on 12 Apr 2026 - 4:02

List Question

Did I do something wrong when rationalizing this denominator by conjugation?

Minimum value of an expression in two variables

Write solution(s) of $z$ in the form $a + bi$

Are there any known criteria in order for $\sqrt{a_1+\sqrt{a_2-\sqrt{a_3+\sqrt{a_4-\sqrt{a_5+\ldots}}}}}$ to converge?

How to solve system of equation, $\sqrt{x-1}+\sqrt{y-1}=4\sqrt 3$, $\sqrt{y-4}+\sqrt{z-4}=4\sqrt3$ and $ \sqrt{x-9}+\sqrt{z-9}=4\sqrt3$ .

$\sqrt{1-x^2}$ is not a rational function

Simplest way to solve radical equation $\sqrt{3x+1}-\sqrt{x+4}=1$

How did x become -sqrt(x^2)?

Solving Radicals in One Variable

Solving $\sqrt{-1+i}$

Algebra Problem Olympiad

Rationalize a fraction.

Prove that $\sqrt[n]{n} > \sqrt[n+1]{n+1}$ without calculus?

Limit Evaluation (Conjugate Method)–Further algebraic manipulation?

How to prove $\frac{a}{b} + \frac{b}{c} + \frac{c}{a}+ \frac{3\sqrt[3]{abc}}{a+b+c}\geq 4 $ using Middle School methods?

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