Question

$( \sqrt{2} + 1) {}^{5} + ( \sqrt{2 } - 1) {}^{5}$
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Answer 1

(√2 + 1)⁵ + (√2 - 1)⁵

= (82.012193309) + (0.0121933088)

= 82.024386618

Thus, the value of (√2 + 1)⁵ + (√2 - 1)⁵ will be 82.024386618.