Question

a rationalising factor of
(∛9-∛3+1)

Answer 1

Answer:

cube root of 3 +1

Step-by-step explanation:

We know that :

(X^2 –X +1)(X+1) = 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)

Answer 2

Answer:

We need to find Rationalization factor of given number. Rationalization factor of a number is a number whose product with given number gives a rational number. Here we get a rational number when √2 - √3 is multiplied with √2 + √3 . Therefore, Rationalization factor of √2 + √3 is √2 - √3.Ap