Question

Please solve in details

Answer 1

HEY FOLK.....


You r given with value of, a = 3 + 2√2

Now, we have to find  (a⁶ + a⁴ + a² +1) / a³

dividing a³ with each of nemerator we will get:  (a3 + a + 1/a + 1/a3)........(1)

a = 3 + 2√2

1/a = 1 / (3 + 2√2)

on rationalising:  (3 - 2√2) / (3² -8)

                      => (3 - 2√2)


substituting values of a and 1/a in equation (1)


(3 + 2√2)³ + (3 + 2√2) + (3 - 2√2) + (3 - 2√2)³


(3 + 2√2)³ + (3 - 2√2)³ + (3 + 2√2) + (3 - 2√2)


(2*3³ + 6*3*(2√2)²) + (6)

(54+144) + (6)

204



HOPE IT HELPS...

#Mme