[tex](8 { – }^{2} + 9 { – }^{2} + 6 { – }^{2} )[/tex]
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2 thoughts on “<br />[tex](8 { – }^{2} + 9 { – }^{2} + 6 { – }^{2} )[/tex]<br />​”

1. Step-by-step explanation:

   8-²+9-²+6-²

   =√8+√9+√6

   =2√2+3+√6

   =5√2+√6

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2. Answer:

   [tex] \frac{289}{5184} \\ [/tex]

   Step-by-step explanation:

   [tex]( {8}^{ – 2} + {9}^{ – 2} + {6}^{ – 2} ) \\ \\ = ( \frac{1}{ {8}^{2} } + \frac{1}{ {9}^{2} } + \frac{1}{ {6}^{2} } ) \\ \\ = ( \frac{1}{64} + \frac{1}{81} + \frac{1}{36} ) \\ \\ (lcm \: of \: 64 \: 81 \: and \: 36 \: is \: 5184) \\ \\ = ( \frac{(1 \times 81) + (1 \times 64) + (1 \times 144)}{5184} \\ \\ = ( \frac{81 + 64 + 144}{5184}) \\ \\ = \frac{289}{5184} [/tex]

   Hence

   [tex] {9}^{ – 2} + {8}^{ – 2} + {6}^{ – 2} = \frac{289}{5184} [/tex]

   hope it helps.

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