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

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`|z_(1)+z_(2)|le|z_(1)|+|z_(2)|`
`=|24+7i|+6`
`=25+6=31`
Also, `|z_(1)+z_(2)|=|z_(1)-(-z_(2))|ge||z_(1)|-|z_(2)||`
`implies|z_(1)+z_(2)|ge|25-6|=19`
Hence, the least value of `|z_(1)+z_(2)|` is 19 and the greatest value is 25.
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