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To solve the equation \(0.7 = \sqrt{w}\), we need to find \(w\). This can be done by squaring both sides of the equation to eliminate the square root:

\[
0.7^2 = (\sqrt{w})^2
\]

Calculating the square of 0.7 gives:

\[
w = 0.7^2 = 0.49
\]

Thus, \(w = 0.49\).

Would you like further details on this problem, or do you have any other questions?

1. How would you solve the equation if the square root was on the other side?
2. What happens if you have a negative number under the square root?
3. How do you solve equations with higher powers (like cubic roots)?
4. What methods are available for approximating square roots without a calculator?
5. Can you explain why squaring both sides is a valid mathematical operation?

**Tip:** Remember to check if the equation leads to any extraneous solutions when you manipulate it, especially when dealing with square roots or rational expressions.

Solve for w. 0.7 = √w. Write your answer as a decimal.

Learn how to solve the square root equation 0.7 = √w. This solution involves squaring both sides to find w as a decimal. Suitable for middle school students, covering key algebraic concepts like square roots.

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