Evaluate the
`sqrt(4+sqrt(144))`

Answer

To evaluate the expression \( \sqrt{4 + \sqrt{144}} \), we can follow these steps:

### Step 1: Evaluate the inner square root
First, we need to calculate \( \sqrt{144} \).
\[ \sqrt{144} = 12 \]

### Step 2: Substitute the value back into the expression
Now, we substitute \( \sqrt{144} \) back into the expression:
\[ \sqrt{4 + \sqrt{144}} = \sqrt{4 + 12} \]

### Step 3: Perform the addition inside the square root
Next, we add \( 4 \) and \( 12 \):
\[ 4 + 12 = 16 \]

### Step 4: Evaluate the outer square root
Now, we find the square root of \( 16 \):
\[ \sqrt{16} = 4 \]

### Final Answer
Thus, the value of \( \sqrt{4 + \sqrt{144}} \) is \( 4 \).

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