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# Simplify the expression with radicals $\sqrt[3]{7-\sqrt[3]{3}}\cdot \left(\sqrt[3]{49}+\sqrt[3]{21}+\sqrt[3]{9}\right)$

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##  Final answer to the problem

$\sqrt[3]{7-\sqrt[3]{3}}\cdot 2$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Prime Factor Decomposition
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
Can't find a method? Tell us so we can add it.
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Rewrite $49$ as a power

$\sqrt[3]{7-\sqrt[3]{3}}\cdot \left(\sqrt[3]{7^{2}}+\sqrt[3]{21}+\sqrt[3]{9}\right)$

Learn how to solve radical expressions problems step by step online.

$\sqrt[3]{7-\sqrt[3]{3}}\cdot \left(\sqrt[3]{7^{2}}+\sqrt[3]{21}+\sqrt[3]{9}\right)$

Learn how to solve radical expressions problems step by step online. Simplify the expression with radicals (7-3^(1/3))^(1/3)(49^(1/3)+21^(1/3)9^(1/3)). Rewrite 49 as a power. Solve the product \sqrt{9}\right). Combining like terms \sqrt[3]{7-\sqrt[3]{3}}\sqrt[3]{7^{2}} and \sqrt[3]{7-\sqrt[3]{3}}\cdot \left(\sqrt[3]{21}+\sqrt[3]{9}\right). Add the values 1 and 1.

##  Final answer to the problem

$\sqrt[3]{7-\sqrt[3]{3}}\cdot 2$

$3.542662$

##  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
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

###  Main Topic: Radical Expressions

Radical expressions are those expressions that include a radical, which is the symbol for calculating a root.