# Step-by-step Solution

Go!
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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Step-by-step explanation

Problem to solve:

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

Learn how to solve multiplication of numbers problems step by step online.

$\sqrt[3]{9}\cdot \sqrt[3]{\frac{2}{\sqrt{2}}+1}\cdot \sqrt[6]{27-2\cdot \sqrt{162}}$

Learn how to solve multiplication of numbers problems step by step online. Multiply 9^0.3333333333333333(2^0.5+1)^0.3333333333333333*(27-2162^0.5)^0.16666666666666666. The square root of 2 is \frac{2}{\sqrt{2}}. Calculate the power \sqrt[3]{9}. Add the values \frac{2}{\sqrt{2}} and 1. The square root of 162 is 9\sqrt{2}.

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