Question

show that 46656 is a perfect cube

Answer 1

46656=2×2×2×2×2×2×3×3×3×3×3×3
√46656=2×2×3×3
36
Let us verify :
36×36 ×36
46656
hence verified .
The above steps show that 46656 is a perfect cube

Answer 2

Hy friend, here's ur ans...
When we will Factorise it,
The factors will be...
2×2×2×2×2×2×3×3×3×3×3×3
So we have a couplet (pair of 3 numbers) of :
(2×2×2) ×(2×2×2) ×(3×3×3) ×(3×3×3)
We will take one from each couplet
2×2×3×3
Ans. 36

So, 46656 is a perfect cube...

: )

Hope it helped u..