Question

Evaluate (√70-√6)^4/3 (√70+√6)^4/3​

Answer 1

Answer:

Cube Root of 4900 - Cube Root of 36.

Step-by-step explanation:

As (A-B)^n * (A+B)^n = A^n - B^n

So here A = √70 , B = √6

= ( √70-√6)^4/3 * (√70+√6)^4/3

= (√70)^4/3 - (√6)^4/3                      

= (70)^4/3*1/2 - (6)^4/3*1/2          

= (70)^2/3 - (6)^2/3                 (70^2=4900, 6^2 = 36) :

= cube root of 4900 - cube root of 36

Answer = cube root of 4900 - cube root of 36.

Thank you ✌