Question

Y minus 1 upon y equal to 3 +2✓2 find the value of y cube minus 1 upon y 3

Answer 1

Answer:

Step-by-step explanation:

y-1/y=3+2sqrt(2)

squaring on both sides

y^2+1/y^2-2=9+8+12sqrt(2)

y^2+1/y^2=19+12sqrt(2)

Y^3-1/y^3=(y-1/y)(y^2+1/y^2+1)=(3+2sqrt(2))(20+12sqrt(2))

=60+36sqrt(2)+40sqrt(2)+48

=108+76sqrt(2)