Question

a rationalising factor of
(∛9-∛3+1)
step by step any one please​

Answer 1

Answer:

cube root of 3+1

Step-by-step explanation:

we know that

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

Substituting, x= cu root (3); we obtain

( cu root (9) - cu root +(3)+1) ( cube root (3)+1

=《cu root (3》^2-cu root (3)+1) ( cube root (3)+1)

=3+1

=4

Accordingly

(cu root of 9- cu root of 3+1

=4 ( cube root (3)+1)

Hence, the rationalizing factor is (cube root(3)+1)