Question

if x = 3+2√2 find the value of x^3-1/x^3​

Answer 1

Answer:

Step-by-step explanation:

Answer:

=-140√2

Explanation:

Given x = 3-2√2 ---(1)

i)

Rationalizing the denominator we get,

=

=

=

= ---(2)

ii) x-1/x

= 3-2√2-(3+2√2)

= 3-2√2-3-2√2

= -4√2 ---(3)

______________________

we know the algebraic identity:

a³-b³ = (a-b)³+3ab(a-b)

______________________

Now,

=

= (-4√2)³+3(-4√2)

= -128√2-12√2

= -140√2

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