Solve the equation with radicals $\sqrt[3]{15+\sqrt{x}}=9$

Step-by-step Solution

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Final answer to the problem

$x=509796$
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Step-by-step Solution

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  • Find the derivative using the definition
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1

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

$\left(\sqrt[3]{15+\sqrt{x}}\right)^3=9^3$

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

$\left(\sqrt[3]{15+\sqrt{x}}\right)^3=9^3$

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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 (15+x^(1/2))^(1/3)=9. 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 9^3. Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term.

Final answer to the problem

$x=509796$

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Function Plot

Plotting: $\sqrt[3]{15+\sqrt{x}}-9$

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Answer Assistant

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Got a different answer? Verify it!

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
|◻|
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: Equations with Cubic Roots

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

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