Math, asked by kapildev6948, 5 days ago

Find the square root 9x²-24xy+30xz-40yz+25z²+16y2​

Answers

Answered by Anonymous
14

 \sf \implies {9 {x}^{2} + 16 {y}^{2} + 25 {z}^{2} + 24xy + 40yz + 30xz }</p><p>

using formula:

 \sf \longrightarrow{ {(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc+ 2ac }

now , evaluating

\sf\implies {9 {x}^{2} + 16 {y}^{2} + 25 {z}^{2} + 24xy + 40yz + 30xz }

\sf\implies{ {(3x)}^{2} + {(4y)}^{2} + {(5z)}^{2} +2.3x.4y + 2.4y.5z + 2.3x.5z }

\sf\implies{ {(3x + 4y + 5z)}^{2} }

\sf\implies{  | \: 3x + 4y + 5z\: | }

Answered by jumailyousuf
3

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