02-03-2024
Mathematics

contestada

Example 10. If x = 1+ √2, then find the value
of (x-1/x)^3
-

Respuesta :

yongren11 yongren11

02-03-2024

Answer:

20- 14√2

Step-by-step explanation:

[tex]( { \frac{x - 1}{x} )}^{3} = { (\frac{ \sqrt{2} }{1 + \sqrt{2} } })^{3} \\ = \frac{2 \sqrt{2} }{5 \sqrt{2} + 7 } \\ = 20 - 14 \sqrt{2} [/tex]

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