Question

find the cube root of 2460375 using the fact that 246375=3375x729

Answer 1

3375 = 15^3
729 = 9^3

So, 2460375 = (15^3) × ( 9^3)
= (15×9)^3
= 135^3

So, cube root of 2460375 is 135

Answer 2

2460375=3375×729
cube root(2460375)=cube root (3375×729)

I.e., cube root(246375)=15×9

I.e., cube root(246375)=135.