find the smallest number which we get by multiplying it with 100to get perfect cube.
Answers
Answered by
0
Answer:
10 itself will be the smallest number as 10*100=1000 and cube root of thousand is 10 itself
Answered by
0
Answer:
Using prime factorization , we get
100=10×10=10²
power two is not divisible by there ( i.e ∛10²=10^(2/3)
to make it divisible by 3 , the least number need to be added is 1 as 2+1=3 ; which is divisible by three
so ,
10^(2+1) is a perfect cube
10^(2+1)
=[10^(2)]×[10^(1)]
=10²×10
∴10 is needed to be multiplied to make 100 a perfect cube. :)
EUREKA!!
Similar questions