8. The least natural number by which(⁸) (⁷)(³) must be divided so that the product is a perfect square.
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Answer:
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Step-by-step explanation:
For the quotient to be a perfect square, the powers of each prime factor of quotient must have even powers.
In this case, Dividend is 3^7 x 5^11
The quotient must have 3^6 x 5^10
So leftovers 3^1 and 5^1 should be in the divisor.
Hence, number should be divided by :
3 x 5 = 15 Answer
Answered by
1
Answer:
The least natural number is 15
Step-by-step explanation:
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