https://file.aiquickdraw.com/mathbot/file/17266771702289qu6nwl4.jpg

The equation in the image appears to be:

\[
x^{\frac{1}{2}} = 5
\]

This can be interpreted as \(x^{\frac{1}{2}}\), which is the same as the square root of \(x\), equaling 5. To solve for \(x\), we can square both sides of the equation.

\[
\left(x^{\frac{1}{2}}\right)^2 = 5^2
\]

This simplifies to:

\[
x = 25
\]

Thus, the solution to the equation is \(x = 25\).

Would you like further details on the solution process or have any other questions?

Here are some related questions for further exploration:
1. What happens when you take the cube root of a number instead of the square root?
2. How do you solve equations involving higher-order roots, like \(x^{\frac{1}{3}}\)?
3. How can you verify if the solution to a radical equation is correct?
4. What are the steps to solve equations involving roots and exponents?
5. How do you handle cases where the exponent is a negative fraction?

**Tip:** Always remember to check for extraneous solutions when solving radical equations by substituting the result back into the original equation.

Learn how to solve the radical equation x^(1/2) = 5 by squaring both sides to find that x = 25. This step-by-step guide helps students understand how to deal with square roots in equations. Suitable for students in Grades 8-10.

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