Simplify each of the
`root(5) 16 xx root(5)2`

Answer

To simplify the expression \( \sqrt{5} \cdot 16 \cdot \sqrt{5}^2 \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \sqrt{5} \cdot 16 \cdot \sqrt{5}^2 \]
We know that \( \sqrt{5}^2 = 5 \), so we can rewrite the expression as:
\[ \sqrt{5} \cdot 16 \cdot 5 \]

### Step 2: Multiply the constants
Now, we multiply the constants \( 16 \) and \( 5 \):
\[ 16 \cdot 5 = 80 \]
Thus, the expression simplifies to:
\[ \sqrt{5} \cdot 80 \]

### Step 3: Rewrite the expression with the constant
We can express this as:
\[ 80\sqrt{5} \]

### Final Result
The simplified expression is:
\[ 80\sqrt{5} \]

---