# Questions tagged [radicals]

For questions involving radical of numbers or radical of expressions (i.e. numbers/expressions raised to the power of a fraction).

2,605 questions
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### Rationalizing denominator with any number of radicals

I'm trying to develop a java class for exact algebraic numbers. I've come to a little bit of a roadblock as far as this goes. My question right now is how to rationalize these equations, but no-one I'...
7answers
196 views

1answer
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### Branch of $m$th root of a holomorphic function

Let $f$ be a holomorphic function in the open subset $G$ of $C$. Let the point $z_0$ of $G$ be a zero of $f$ of order $m$. I want to prove that there is a branch of $f^{1/m}$ in some open disk ...
1answer
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### How can you express radicals as multiplication/addition?

How can you express radicals as multiplication/addition? Most mathematical operations clearly reduce to multiplication/addition (same thing), but how do you do that for exponentials/radicals? Thank ...
3answers
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### estimate value of $\sqrt{0.05}$

Yesterday I got an exam in which there was a problem and its solution results in $$\sqrt{0.05}$$ I didn't go further calculation. Still I can't. My lecturer said, even I'm still not sure if he ...
1answer
35 views

### Near integers in powers of binomials with radicals

This question comes out of a mathematics calendar problem that asked for the tenths digit of the expression $(17 + \sqrt{280})^{17}$. The calendar implied the digit should be 9, but after playing ...
0answers
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### $\sqrt 2$ in $F_p$ [duplicate]

Is there a way to find out if $\sqrt 2$ exists in $F_p$ depending on p?
2answers
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### How can I solve this absolute value equation?

This is the equation: $|\sqrt{x-1} - 2| + |\sqrt{x-1} - 3| = 1$ Any help would be appreciated. Thanks!
1answer
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### Arc length of $x^3 \sqrt{9-x}$ on $[0,9]$

This is supposed to be part of a student's Calc 2 homework; however, this seems to be an extremely difficult integration, and I couldn't figure it out. Find the arc length of $x^3 \sqrt{9-x}$ on the ...
3answers
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### Solving radical and polynomial expressions

$2x^3 +3x^2 +2x+1 = x(2x+3)(\sqrt{x^2 + \frac{1}{x}} )$ Only solution i could find is x = -1, the LHS can be expressed as $(x+1)(2x^2+x+1)$ and the LHS has a $\sqrt{\frac{x^3+1}{x}}$ which has a ...
0answers
65 views