Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 6 \)
Solution
To solve the equation:
\[
\sqrt{x} \cdot \sqrt{x} = 6
\]
**Step 1:** Simplify the left side of the equation.
Recall that \(\sqrt{x} \cdot \sqrt{x} = (\sqrt{x})^2 = x\).
\[
x = 6
\]
**Step 2:** Therefore, the value of \(x\) is:
\[
x = 6
\]
**Answer:** \( x = 6 \)
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Simplify this solution Extra Insights
Let's simplify the equation! When you multiply two square roots, like \( \sqrt{x} \cdot \sqrt{x} \), it’s the same as \( \sqrt{x^2} \) which simplifies to just \( x \). So, we have \( x = 6 \). Now, if you're ever unsure when dealing with square roots, just remember: squaring both sides can help eliminate the roots! In this case, if we had started with \( \sqrt{x} = \sqrt{6} \), squaring both sides would guide you directly to your answer, reinforcing those algebraic skills!
