https://file.aiquickdraw.com/mathbot/file/1727013876385knlgxhlf.jpg

The expression shown in the image is:

\[
\sqrt{3 \sqrt{9 \sqrt{27}}}
\]

To solve this step by step:

1. **Innermost square root:**
   \[
   \sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}
   \]

2. **Next square root:**
   Now substitute \(\sqrt{27} = 3\sqrt{3}\) into the expression:
   \[
   \sqrt{9 \sqrt{27}} = \sqrt{9 \times 3\sqrt{3}} = \sqrt{27\sqrt{3}}
   \]

   This is a bit more complicated. Let's approximate or simplify further:
   - We can estimate \(\sqrt{27\sqrt{3}}\), but it doesn't simplify easily in exact terms without a numerical approach.

Would you like to approximate numerically, or keep it in symbolic form?

How to solve the nested square root expression: \( \sqrt{3 \sqrt{9 \sqrt{27}}} \)?

Learn how to solve the nested square root expression \( \sqrt{3 \sqrt{9 \sqrt{27}}} \) with a detailed step-by-step solution. This problem involves simplifying square roots using key algebraic techniques. Suitable for students in Grades 10-12.

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