Question

If cube of 729 is 9 then cube of 0. 000729

Answer 1

It is required to find the cube root of ,0.000729
this number can be rewritten as,
0.000729 = 729 /1000000

so the cube root of 0.000729 is equivalent to, ∛0.000729 = ∛729/ ∛1000000

find the L.C.M of the number 729 as follow

729 = 3 x 3 x 3 x 3 x 3 x 3
1000000 = 100 x 100 x 100

so from we get
∛ 0.000729 = ∛ 3x 3 x 3 x 3 x 3 x 3 x3 /∛ 100 x100 x100
= 3 x 3 /100
= 9 /100
= 0.09 ans