1.

*If x = 1 + √2, then show that : ( x - 1/x) whole cube = 8 ​

Answer»

Step-by-step EXPLANATION:

X = 1 + √2

( x - 1/x)^3 = ( 1 + √2 - ( 1 / (1+√2) ) )^3

=( 1 + √2 - ( 1 / (√2+1))((√2-1)/(√2-1)))^3

=(1+√2-((√2-1)/(((√2)^2)-(1^2))))^3

=(1+√2-√2+1)^3

=2^3

=8

[ SHOWED]



Discussion

No Comment Found

Related InterviewSolutions