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Simplify the expression $\frac{x^5+\left(2\sqrt{3}+2\right)x^3+2\sqrt{2}+7}{x-\sqrt{2}+1}$

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Solution

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Final Answer

$\frac{9.828427+x^5+5.464102x^3}{-0.414214+x}$
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Step-by-step Solution

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Calculate the square root of $2$

$\frac{x^5+\left(2\sqrt{3}+2\right)x^3+2\sqrt{2}+7}{x-\sqrt{2}+1}$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{x^5+\left(2\sqrt{3}+2\right)x^3+2\sqrt{2}+7}{x-\sqrt{2}+1}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (x^5+(23^1/2+2)x^322^1/2+7)/(x-2^1/2+1). Calculate the square root of 2. Calculate the square root of 3. Calculate the square root of 2. Multiply -1 times \sqrt{2}.

Final Answer

$\frac{9.828427+x^5+5.464102x^3}{-0.414214+x}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind (x^5+(23^0.5+2)x^3)/(x+-12^0.5) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{9.828427+x^5+5.464102x^3}{-0.414214+x}$

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a
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f
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m
n
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v
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x
y
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(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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