Find the least number by which 34848 number should be multiplied to make them perfect square
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factorise 34848 into product of primes
34848 = (2 × 2) × (2 × 2) × 2 × (3 × 3) × 121
In this factorisation, 2 and 121 are left out without pairs,
therefore inorder to make the number a perfect square, all the primes in the factorisation should have pairs.
now
multiplying 34848 with 2 and 121
we get,
8433216, which is a perfect square
=> 8433216 = 2904^2
therefore the least no multiplied with 34848 to make it a perfect square = 121 × 2
= 242
34848 = (2 × 2) × (2 × 2) × 2 × (3 × 3) × 121
In this factorisation, 2 and 121 are left out without pairs,
therefore inorder to make the number a perfect square, all the primes in the factorisation should have pairs.
now
multiplying 34848 with 2 and 121
we get,
8433216, which is a perfect square
=> 8433216 = 2904^2
therefore the least no multiplied with 34848 to make it a perfect square = 121 × 2
= 242
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