Question

What's the smallest number by which 219700 must be multiplied to get a perfect cube?
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Answer 1

Answer:

10

Step-by-step explanation:

219700=$2^{2} *5^{2} *13^{3}$

for it to be a perfect cube all the powers should be divisible by 3

therefore for $2^{2}$ to be a cube we multiply it by $2^{1}$

for $5^{2}$ to be a cube we multiply by 5

13^3 is already a perfect cube

• therefore to get unknown value x we just multiply 2 by 5 we get 10