Question

find the smallest number by which 200 should be multiplied to make it a perfect cube​

Answer 1

Step-by-step explanation:

the smallest no is 5

inorder to find the perfect cube, the exponent of must be 3 these we multiplide 200 by 5.

Answer 2

Answer:

5

Step-by-step explanation:

firstly let us spilt 200 into prime factors

200 = 100 × 2

200 = 50 × 2 × 2

200 = 25 ×2 ×2×2

200 = 5 × 5× 2 ×2×2

200 = 5square × 2cube

for a cubic number all powers must be multiples of 3

the powers of 2 is 3 which is the multiple of 3

the power of 5 is 2which is not . we need another 5 to make 5 cube

so the smallest number to multiply 200 by to get a cube number is 5

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