Question

(3 + √8)^4 + ( 3 - √8)^4​

Answer 1

Step-by-step explanation:

${(3 + \sqrt{8})}^{4} + {(3 - \sqrt{8})}^4 = >$

${( {(3 + \sqrt{8}) }^{2} )}^{2} + {( {(3 - \sqrt{8} )}^{2})}^{2} = >$

${(9 + 8 + 2.3. \sqrt{8}) }^{2} +$

${(9 + 8 - 2.3. \sqrt{8} )}^{2} = > {(17 + 12 \sqrt{2})}^{2}$

$+ {(17 - 12 \sqrt{2})}^{2} = > {17}^{2} + {(12 \sqrt{2})}^{2}$

$+ 2.17.12 \sqrt{2} + {17}^{2} + {(12 \sqrt{2})}^{2} -$

$2.17.12 \sqrt{2} = > 2(289 + 288) = >$

1294. Hope it helps you.