Final answer to the problem
$x=\sqrt{\left(5\right)^{3}}-4$
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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 $3$
$\left(\sqrt[3]{x+4}\right)^3=\left(\sqrt{5}\right)^3$
Learn how to solve equations with cubic roots problems step by step online.
$\left(\sqrt[3]{x+4}\right)^3=\left(\sqrt{5}\right)^3$
Learn how to solve equations with cubic roots problems step by step online. Solve the equation with radicals (x+4)^(1/3)=5^(1/2). Removing the variable's exponent raising both sides of the equation to the power of 3. Cancel exponents \frac{1}{3} and 3. Simplify \left(\sqrt{5}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 3. Multiply the fraction and term in 3\left(\frac{1}{2}\right).
Final answer to the problem
$x=\sqrt{\left(5\right)^{3}}-4$
Exact Numeric Answer
$x=7.1803399$
