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Pre-Algebra
Mean
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Greatest Common Factor
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Order of Operations
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Mixed Fractions
Prime Factorization
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Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
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Trigonometry
Simplify
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Evaluate
\sqrt{\sqrt{x^{2}-5}+5}
Differentiate w.r.t. x
\frac{x}{2\sqrt{\left(\sqrt{x^{2}-5}+5\right)\left(x^{2}-5\right)}}
Graph
Quiz
Algebra
5 problems similar to:
\sqrt { \sqrt { ( \sqrt { x ^ { 2 } - 5 } ) ^ { 2 } } + 5 }
Similar Problems from Web Search
Least value of L for \sqrt{x^2+ax}-\sqrt{x^2+bx}<L for all x>0
https://math.stackexchange.com/questions/2945698/least-value-of-l-for-sqrtx2ax-sqrtx2bxl-for-all-x0
We have \sqrt{x^2+ax}-\sqrt{x^2+bx}=\frac{(x^2+ax)-(x^2+bx)}{\sqrt{x^2+ax}+\sqrt{x^2+bx}}=\frac{a-b}{\sqrt{1+\frac{a}{x}}+\sqrt{1+\frac{b}{x}}} for all x>0 . Because \sqrt{1+\frac{a}{x}}>1 ...
How do you solve \displaystyle\sqrt{{{3}{x}^{{{2}}}-{12}{x}+{9}}}+{3}={3}{x} ?
https://socratic.org/questions/how-do-you-solve-sqrt-3x-2-12x-9-3-3x
x = 1 only Explanation: rewrite as \displaystyle\sqrt{{{3}{x}^{{2}}-{12}{x}+{9}}} = 3x - 3 square both sides \displaystyle{3}{x}^{{2}} - 12x + 9 = \displaystyle{9}{x}^{{2}} - 18x + ...
Maximize the value of \sqrt{x-x^2}+\sqrt{cx-x^2} without using calculus
https://math.stackexchange.com/questions/2954864/maximize-the-value-of-sqrtx-x2-sqrtcx-x2-without-using-calculus
Using the Cauchy-Schwartz inequality \left(\sqrt{x-x^2}+\sqrt{c x-x^2}\right)^2\le \left(x+1-x\right)\left(x+c-x\right) = c then \sqrt{x-x^2}+\sqrt{c x-x^2}\le\sqrt{c}
How do you find the domain of \displaystyle{h}{\left({x}\right)}=\sqrt{{{4}-{x}}}+\sqrt{{{x}^{{2}}-{1}}} ?
https://socratic.org/questions/how-do-you-find-the-domain-of-h-x-sqrt-4-x-sqrt-x-2-1
Domain of \displaystyle{h}{\left({x}\right)} \displaystyle={\left(-\infty,-{1}\right]}\cup{\left[{1},{4}\right]} Explanation: Domain is all possible allowable \displaystyle{x} value ...
Factoring the expression (\sqrt{x^2} -a)^2 + M = 0
https://math.stackexchange.com/q/1542043
Taking \sqrt{-M} is problematic. You need to establish that M is >= 0 first. From the comments you seem to think that since M represents "any number of terms" you can skip this step... this is ...
Why does this outcome change depending on infinity
https://math.stackexchange.com/questions/659725/why-does-this-outcome-change-depending-on-infinity
No, you're missing an absolute value sign on x in the denominator. Put differently, note that for large values of x, \sqrt{x^2+2x} \approx |x| + \text{sgn}(x) and \sqrt{x^2-2x} \approx |x| - \text{sgn}(x). ...
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Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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