Find the smallest number by which 30375 should be multiplied so that the product is
a perfect cube. Also,find the cube root of the number thus obtained.
Answers
Answered by
1
Step-by-step explanation:
Lets find out the prime factors
3 | 30375
3 | 10125
3 | 3375
3 | 1125
3 | 375
5 | 125
5 | 25
5 | 5
| 1
Prime factors = 3x3x3x3x3x5x5x5
=(3x3x3)x(5x5x5)x3x3
So, the smallest number is 3 with which 30375 is multiplied to get the perfect cube
New number is 30375*3=91125
Cube root of 91125 is 45
Answered by
4
Answer:
the smallest no. is 3
Step-by-step explanation:
the ans is 91125
》cube root = 3×3×5
= 45
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