Math, asked by PRITHMAY, 8 months ago

if x = 2 + root 3 find value of x^3 +1/x^3

Answers

Answered by pranavkumaryadav714
0

Answer:

if x = 2 + root 3 find value of x^3 +1/x^

Step-by-step explanation:

solve the problem yourself this is very easy

Answered by VivekARMandal
2

Answer: 52

Step-by-step explanation:

We have ,

x=2+√3 therefore by rationalizing , we get

1/x=2-√3

and x+1/x=2+√3+(2-√3)

we get x+1/x=4

By cubing both sides

  • (x+1/x)^3= 4^3=64
  • x^3+(1/x)^3+3x(1/x){x+1/x}=64
  • x^3+(1/x)^3+3(4)=64
  • x^3+(1/x)^3=64-12
  • x^3+1/x^3=52

hence we got the answer

Similar questions