find the smallest number that should be multiplied to make the following number perfect cube 34295
Answers
Step-by-step explanation:
34295 = 19×19 × 19 × 5
= 19³ × 5
to make it prefect cube we multiple with 5² = 25
= 19³×5 ×5²
= 19³× 5³
³√19³×5³ = 19×5 = 95
Concept:
HCF stands for Highest Common Factor. HCF of a given set of numbers is a largest no. which can divide the given set of numbers
LCM stands for Lowest Common Multiple. LCM of a given set of a number is a smallest number which is divisible by the given set of numbers
Multiplication of two numbers = hCF x LCM
Given:
34295
Find:
find the smallest number that should be multiplied to make the following number perfect cube 34295
Solution:
34295 = 19×19 × 19 × 5
= 19³ × 5
to make it prefect cube we multiple with 5² = 25
= 19³×5 ×5²
= 19³× 5³
=³√19³×5³ = 19×5 = 95
Therefore, the smallest number which must be multiplied to make 34295 perfect cube is 5.
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