Find the smallest number by which 9408 must be divided so that the quotient is a perfect square find the square root of the quotient
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The answer should be 2
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Answer:
56
Step-by-step explanation:
9408=2×2×2×2×2×2×3×7×7
The Prime factor 2 and 7 occurs in pairs.
But prime factors 3 doesn't have a pair.
3 is the smallest number by which 9408 must be divided so that it become a perfect square.
Perfect square =9408×3=3136
=2×2×2×2×2×3×7×7
The prime factors 2 and 7 occurs in pairs.
But Prime factors 3 doesn't have a pair.
3 is the smallest number by which 9408 must be divided so that it becomes a perfect square.
Perfect square =9408×3=3136
=2×2×2×2×2×2×7×7
Square root =2×2×2×7=56
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