Question

If x= 5 - 2√6 then find the value of (x+1/x)³


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Answer 1

Solution

Given :-

• x = 5 - 2√6 .

Find :-

• Value of (x + 1/x)³

Explanation

First calculate 1/x.

➡ 1/x = 1/(5-2√6)

Rationalize denominator

➡ 1/x = (5+2√6)/(5+2√6)(5-2√6)

➡1/x = (5+2√6)/(25-24)

➡1/x = (5+2√6)/1

➡1/x = (5+2√6)

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Now, calculate ( x + 1/x)³

➡( x + 1/x)³

keep value of x & 1/x

➡ [ (5-2√6)+(5+2√6)]³

➡(5+5-2√6+2√6)³

➡10³

➡1000

Hence

• Value of ( x + 1/x)³ will be = 1000

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Answer 2

Answer:

hope this will help u ❤️