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# Factor the expression $9^{\frac{1}{3}}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$

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##  Final answer to the problem

$2.2362964\sqrt[3]{\sqrt[4]{4}+1}$
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##  Step-by-step Solution 

How should I solve this problem?

• Factor
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
Can't find a method? Tell us so we can add it.
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Divide $1$ by $3$

$\sqrt[3]{9}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$

Learn how to solve factor problems step by step online.

$\sqrt[3]{9}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$

Learn how to solve factor problems step by step online. Factor the expression 9^(1/3)(2^1/2+1)^(1/3)(27-2162^1/2)^(1/6). Divide 1 by 3. Divide 1 by 3. Divide 1 by 6. Calculate the square root of 2.

##  Final answer to the problem

$2.2362964\sqrt[3]{\sqrt[4]{4}+1}$

##  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

SnapXam A2

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5
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7
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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

###  Main Topic: Factor

Factor the expression.