Question

If x = 3+ 2√2, then find the value of (x + 1/x )³​

Answer 1

Answer:

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Segment joining (4,-1) and (-2,-3)each item. She wants to know the item that has the minimum discount offer, so that she can avoid buying that and save money.

[Input Format: The first input refers to the no of items; the second input is the item name, price and discount percentage separated by comma(,)]

Assume the minimum discount offer is in the form of Integer.

Answer 2

Given:-

→Value of x is 3+2√2

To find:-

→Value of (x+1/x)³

Solution:-

Here,value of x is given as 3+2√2

Thus,value of 1/x= 1/(3+2√2)

By rationalizing 1/(3+2√2),we get:-

$= > \frac{1}{3 + 2 \sqrt{2} } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} }$

We know that:-

=>(a+b)(a-b)= a²-b²

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

$= > \frac{3 - 2 \sqrt{2} }{9 - 8}$

$= > 3 - 2 \sqrt{2}$

Thus,we got value of 1/x as 3-2√2.

Hence,value of (x+1/x)³:-

$= > (x + \frac{1}{x} ) ^{3}$

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

$= > (3 + 3) ^{3}$

$= > (6) ^{3}$

$= > <strong>216</strong>$

Thus,value of (x+1/x)³ is 216.