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Solve the equation with radicals $\sqrt[3]{x}=6$

Step-by-step Solution

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Solving: $\sqrt[3]{x}=6$
Solve instead: $\sqrt[3]{x=6}$

Solution

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Final answer to the problem

$x=216$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Removing the variable's exponent raising both sides of the equation to the power of $3$

Learn how to solve equations with cubic roots problems step by step online.

$\left(\sqrt[3]{x}\right)^3=6^3$

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Unlock the first 3 steps of this solution

Learn how to solve equations with cubic roots problems step by step online. Solve the equation with radicals x^(1/3)=6. Removing the variable's exponent raising both sides of the equation to the power of 3. Cancel exponents \frac{1}{3} and 3. Calculate the power 6^3.

Final answer to the problem

$x=216$

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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

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Function Plot

Plotting: $\sqrt[3]{x}-6$

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Answer Assistant

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Got a different answer? Verify it!

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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
D□x
∫
∫◻
|◻|
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:

Similar Problems Solved

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$\sqrt[3]{1-5x}=-4$

$\sqrt[3]{x-3}=2$

$2\left(7b-1\right)^{\frac{1}{3}}-4=0$

$2\left(7b-1\right)^{\frac{1}{3}}=-4$

$\sqrt[3]{x=6}$

$30x^{\frac{1}{3}}y^{\frac{2}{3}}=384000$

Main Topic: Equations with Cubic Roots

Those equations that they degree (greatest exponent) equals 3.

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