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Factor the expression $\frac{1}{\sqrt{2+\sqrt{3}}}+\frac{\sqrt{3}+1}{2+\sqrt{2}}+\frac{\sqrt{2+\sqrt{3}}}{\sqrt{2}+\sqrt{3}}$

Step-by-step Solution

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Final answer to the problem

$1.9318517$
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Step-by-step Solution

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Calculate the square root of $3$

$\frac{1}{\sqrt{2+\sqrt{3}}}+\frac{\sqrt{3}+1}{2+\sqrt{2}}+\frac{\sqrt{2+\sqrt{3}}}{\sqrt{2}+\sqrt{3}}$

Learn how to solve factor problems step by step online.

$\frac{1}{\sqrt{2+\sqrt{3}}}+\frac{\sqrt{3}+1}{2+\sqrt{2}}+\frac{\sqrt{2+\sqrt{3}}}{\sqrt{2}+\sqrt{3}}$

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Learn how to solve factor problems step by step online. Factor the expression 1/((2+3^1/2)^1/2)+(3^1/2+1)/(2+2^1/2)((2+3^1/2)^1/2)/(2^1/2+3^1/2). Calculate the square root of 3. Calculate the square root of 2. Calculate the square root of 3. Calculate the square root of 2.

Final answer to the problem

$1.9318517$

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

SimplifyFactor by completing the squareFind the integralFind the derivativeFind 1/((2+3^0.5)^0.5)+(3^0.5+1)/(2+2^0.5) using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $1.9318517$

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Answer Assistant

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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: Factor

Factor the expression.

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