Find the greatest and the least value of `|z_1+z_2|` if`z_1=24+7ia n d|z_2|=6.`

Explanation

To find the greatest and least values of \( |z_1 + z_2| \) given \( z_1 = 24 + 7i \) and \( |z_2| = 6 \), we can follow these steps:

### Step 1: Calculate \( |z_1| \)
We start by calculating the modulus of \( z_1 \):
\[ |z_1| = |24 + 7i| = \sqrt{24^2 + 7^2} \]
Calculating \( 24^2 \) and \( 7^2 \):
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