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Number should be multiplied by 64000 to get up perfect square?
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Number should be multiplied by 64000 to get up perfect square?
Explanation:
1. Finding the perfect square:
To find out the number that should be multiplied by 64000 to get a perfect square, we need to first determine the prime factors of 64000.
2. Prime factorization of 64000:
64000 can be expressed as 2^10 * 5^3. To make it a perfect square, we need to balance the powers of 2 and 5.
3. Adjusting the powers:
Since 2^10 already has an even power, we need to increase the power of 5 to make it a perfect square. By increasing the power of 5 to 4, we get 2^10 * 5^4 which equals 160000.
4. Verification:
To verify if 160000 is a perfect square, we can take the square root of 160000 which equals 400. Hence, 400 is a perfect square.
5. Conclusion:
Therefore, the number that should be multiplied by 64000 to get a perfect square is 400.
1. Finding the perfect square:
To find out the number that should be multiplied by 64000 to get a perfect square, we need to first determine the prime factors of 64000.
2. Prime factorization of 64000:
64000 can be expressed as 2^10 * 5^3. To make it a perfect square, we need to balance the powers of 2 and 5.
3. Adjusting the powers:
Since 2^10 already has an even power, we need to increase the power of 5 to make it a perfect square. By increasing the power of 5 to 4, we get 2^10 * 5^4 which equals 160000.
4. Verification:
To verify if 160000 is a perfect square, we can take the square root of 160000 which equals 400. Hence, 400 is a perfect square.
5. Conclusion:
Therefore, the number that should be multiplied by 64000 to get a perfect square is 400.
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Number should be multiplied by 64000 to get up perfect square?
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Number should be multiplied by 64000 to get up perfect square? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Number should be multiplied by 64000 to get up perfect square? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Number should be multiplied by 64000 to get up perfect square?.
Number should be multiplied by 64000 to get up perfect square? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Number should be multiplied by 64000 to get up perfect square? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Number should be multiplied by 64000 to get up perfect square?.
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