Find the smallest number by which 69120 must be multiplied to obtain a perfect cube . Also find the cube root of the resultant number .
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Answered by
20
Answer:
25 , 60
Step-by-step explanation:
69120
/ \
2 34560
/ \
2 17280
/ \
2 8640
/ \
2 4320
/ \
2 2160
/ \
2 1080
/ \
2 540
/ \
2 270
/ \
2 135
/ \
3 45
/ \
3 15
/ \
3 5
/ \
5 1
ie., 69120 = 2^9 x 3^3 x 5
= 4³ x 3³ x 5
=> 5² is the smallest no. to be multiplied to get a perfect cube
ie, 25 to be multiplied
if multiplied, we get 4³ x 3³ x 5³
=> the resultant cube root is 4x5x3 = 60
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9
Answer:
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