To solve the equation \( 165 = \sqrt{x} \), we need to eliminate the square root by squaring both sides of the equation:

\[
(165)^2 = (\sqrt{x})^2
\]

This simplifies to:

\[
165^2 = x
\]

Now, calculate \( 165^2 \):

\[
165^2 = 27225
\]

Thus, \( x = 27225 \).

The solution is \( x = 27225 \).

Would you like any further details or clarifications?

Here are some related questions:
1. How do you solve equations involving cube roots?
2. What is the process for solving equations with higher powers?
3. How do you simplify radicals before solving?
4. Can every square root equation be solved this way?
5. What if the equation involves a negative square root?

**Tip:** Always check if squaring both sides of an equation introduces extraneous solutions.

Discover how to solve the square root equation 165 = √x with a step-by-step explanation. This guide covers key algebraic concepts like square roots and inverse operations, ideal for students in Grades 8-10. The solution involves squaring both sides and calculating 165^2 to find the value of x.

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