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Simplify the expression $\frac{x^2+4x+3}{\sqrt{x}}$

Step-by-step Solution

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Final answer to the problem

$\sqrt{x^{3}}+4\sqrt{x}+\frac{3}{\sqrt{x}}$
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Step-by-step Solution

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Expand the fraction $\frac{x^2+4x+3}{\sqrt{x}}$ into $3$ simpler fractions with common denominator $\sqrt{x}$

$\frac{x^2}{\sqrt{x}}+\frac{4x}{\sqrt{x}}+\frac{3}{\sqrt{x}}$

Learn how to solve classify algebraic expressions problems step by step online.

$\frac{x^2}{\sqrt{x}}+\frac{4x}{\sqrt{x}}+\frac{3}{\sqrt{x}}$

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Learn how to solve classify algebraic expressions problems step by step online. Simplify the expression (x^2+4x+3)/(x^1/2). Expand the fraction \frac{x^2+4x+3}{\sqrt{x}} into 3 simpler fractions with common denominator \sqrt{x}. Simplify the fraction \frac{x^2}{\sqrt{x}} by x. Simplify the fraction by x.

Final answer to the problem

$\sqrt{x^{3}}+4\sqrt{x}+\frac{3}{\sqrt{x}}$

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

FactorFactor by completing the squareFind the integralFind the derivativeFind (x^2+4x)/(x^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: $\sqrt{x^{3}}+4\sqrt{x}+\frac{3}{\sqrt{x}}$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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

How to improve your answer:

Main Topic: Classify algebraic expressions

An algebraic expression can be classified as a monomial, binomial, trinomial or polynomial, depending on the number of terms.

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