Math, asked by pratikshajawale, 3 months ago

find the smallest number which we get by multiplying it with 100to get perfect cube.​

Answers

Answered by samsudbirati
0

Answer:

10 itself will be the smallest number as 10*100=1000 and cube root of thousand is 10 itself

Answered by tuhinsamanta49
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!!

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