............
15 points
Find the smallest number by which by 2025 must be
multiplied to make a perfect cube. Also find the cube root
of the number thus obtained.
Share
............
15 points
Find the smallest number by which by 2025 must be
multiplied to make a perfect cube. Also find the cube root
of the number thus obtained.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
To Find :-
Answer :-
Prime factorization of 2025 :-
2025 = 5² * 9²
Here, for making the product perfect cube, above number needs minimum one more 5 and one more 9.
So that, every factor has exponent 3...
So, the given number is to be multiplied by = 5 * 9 = 45
Hence, 2025 is Multiply by 45 to Make Perfect Cube...
And,
→ 2025 * 45 = 5³ * 9³
so,
→ Cube Root = 5 * 9 = 45 .
Hence, the cube root of the number thus oobtained is Also 45..
Verified answer
Answer:
here we have 4116 = 2² x 1029
=> 2² x 7³ x 3
Thus to make a perfect cube
we need to multiply the number by 2 x 3² = 18