Evaluate:
(ii) `isqrt-16+isqrt-25+sqrt49-isqrt-49+14`

Answer

To evaluate the expression \( \text{i}\sqrt{-16} + \text{i}\sqrt{-25} + \sqrt{49} - \text{i}\sqrt{-49} + 14 \), we will follow these steps:

### Step 1: Rewrite the square roots of negative numbers using \( i \)
We know that \( \sqrt{-a} = i\sqrt{a} \) for any positive \( a \). Therefore, we can rewrite the terms involving square roots of negative numbers:

\[ \text{i}\sqrt{-16} = \text{i}\sqrt{16} \cdot \sqrt{-1} = \text{i} \cdot 4 \cdot i = -4 \]

\[ \text{i}\sqrt{-25} = \text{i}\sqrt{25} \cdot \sqrt{-1} = \text{i} \cdot 5 \cdot i = -5 \]

\[ -\text{i}\sqrt{-49} = -\text{i}\sqrt{49} \cdot \sqrt{-1} = -\text{i} \cdot 7 \cdot i = 7 \]

### Step 2: Evaluate the square root of a positive number
Now we evaluate the square root of 49:

\[ \sqrt{49} = 7 \]

### Step 3: Substitute the evaluated terms back into the expression
Now we substitute all the evaluated terms back into the expression:

\[ -4 - 5 + 7 + 7 + 14 \]

### Step 4: Simplify the expression
Now we will simplify the expression step by step:

1. Combine the negative terms:
\[ -4 - 5 = -9 \]

2. Add the positive terms:
\[ -9 + 7 = -2 \]
\[ -2 + 7 = 5 \]
\[ 5 + 14 = 19 \]

### Final Result
Thus, the final evaluated result is:

\[ \boxed{19} \]

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