Question
find the solution for x when x^3=27/8
Answers
GPT-4o mini
To solve the equation \( x^3 = \frac{27}{8} \), we can take the cube root of both sides.
\[
x = \sqrt[3]{\frac{27}{8}}
\]
We can simplify this expression:
\[
x = \frac{\sqrt[3]{27}}{\sqrt[3]{8}}
\]
Calculating the cube roots:
\[
\sqrt[3]{27} = 3 \quad \text{and} \quad \sqrt[3]{8} = 2
\]
So, we have:
\[
x = \frac{3}{2}
\]
Thus, the solution is:
\[
\boxed{\frac{3}{2}}
\]
\[
x = \sqrt[3]{\frac{27}{8}}
\]
We can simplify this expression:
\[
x = \frac{\sqrt[3]{27}}{\sqrt[3]{8}}
\]
Calculating the cube roots:
\[
\sqrt[3]{27} = 3 \quad \text{and} \quad \sqrt[3]{8} = 2
\]
So, we have:
\[
x = \frac{3}{2}
\]
Thus, the solution is:
\[
\boxed{\frac{3}{2}}
\]