Simplify. $$ \sqrt{y^{5}} $$ Assume that the variable represents a positive real number.

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To simplify the expression $$\sqrt{y^{5}}$$, follow these steps:

1. **Understand the Expression:**
   
   The expression $$\sqrt{y^{5}}$$ can be rewritten using fractional exponents. Recall that:
   $$
   \sqrt{y^{n}} = y^{\frac{n}{2}}
   $$
   
2. **Apply the Fractional Exponent:**
   
   $$
   \sqrt{y^{5}} = y^{\frac{5}{2}}
   $$

3. **Break Down the Exponent:**
   
   The exponent $$\frac{5}{2}$$ can be separated into an integer part and a fractional part:
   $$
   y^{\frac{5}{2}} = y^{2 + \frac{1}{2}} = y^{2} \cdot y^{\frac{1}{2}}
   $$
   
4. **Convert Back to Radical Form (if desired):**
   
   Since $$y^{\frac{1}{2}} = \sqrt{y}$$, the expression becomes:
   $$
   y^{2} \cdot \sqrt{y}
   $$

5. **Final Simplified Form:**
   
   $$
   \sqrt{y^{5}} = y^{2} \sqrt{y}
   $$

**Conclusion:**

The simplified form of $$\sqrt{y^{5}}$$ is $$y^{2} \sqrt{y}$$.
$$\sqrt{y^{5}} = y^{2} \sqrt{y}$$

Simplify.

Assume that the variable represents a positive real number.

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Simplify. Assume that the variable represents a positive real number.