Question

If x = 2 + V3, prove that X^3 +1/ X^3 = 52.
Plz help asap

Answer 1

Answer:

here is the answer...

Step-by-step explanation:

x = 2+ √3

x³+1/x³ = (2+ √3)³ + 1/(2+ √3)³ { 1/(2+ √3)³ = (1/2+ √3)³}

= ( 2+ √3)³ + [ 1/2+ √3 × ( 2- √3)/(2- √3) ]³

=(8+3√3+12√3+18) + (2-√3)³

= (8+3√3+12√3+18) + ( 8-3√3-12√3+18)

= 16+36

= 52

= R.H.S