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Check the answer.
The answer seems right as 14135 is less than 16215.
Exercise 3.4
each of the following.
hat should be added to 3675 to make it 8000?
how much is 4671 smaller than 8253?
m which number should we subtract 3743 to get 4493
a number which is 2651 less than the number 5345
much bigger is 7946 than 6376?
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Step-by-step explanation:
we are going to find out prime factors of 3675
3675=3×1225
=3×5×245
=3×5×5×49
=3×5×5×7×7
By grouping the prime factors for 3675
=(5×5)×(7×7)×3
By observation, prime factor 3 is left out.
So, multiply by 3 we get,
3675×3 =(5×5)×(7×7)×(3×3)
=(5×7×3)×(5×7×3)
=105×105
=(105)
2
11025=(105)
2
11025
=105
Hence, the number by which 3675 must be multiplied so that the product is perfect square is 3.
Hence the sum will be 105+3=108
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