the smallest number by which we must divide 4624 so that is become a perfect cube
Answers
Answered by
2
Answer:
4624 should be divided by 289 to become a perfect cube
Step-by-step explanation:
4624=2×1156
=2×2×578
=2×2×2×289
=2×2×2×17×17
Answered by
0
Answer:
68
Step-by-step explanation:
4624=2*2*2*2*17*17
= 2^4 * 17^2
= (2^2)^2 *17^2
= (4*17)^2 { x^n * y^n = (x*y)^n}
= (68)^2
= 68*68
To find integer n, to make 4624*n a perfect cube
we need an integer, m such that m^3 = 4624*n :
since 4624*n = 68*68*n,
= m*m*m =68*68*n
m = 68
68*68*68 = 68*68*n
n = m = 68
Similar questions