1. By what least number should 3675 be multiplied to get a perfect square number? Also find the number whose square is the new number
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Answered by
98
3675/3=1225
1225/5=245
245/5=49
49/7=7
7/7=1
Here, prime factors of 3675 are 3 x 5x5 x 7x7
Here we are not having pair of 3 so we will multiply 3675 by 3 to make it a perfect square = 3675 * 3 = 11025 = 3x3 x 5x5 x 7x7
Square root of 11025 = 3x5x7
11025's square root is 105
1225/5=245
245/5=49
49/7=7
7/7=1
Here, prime factors of 3675 are 3 x 5x5 x 7x7
Here we are not having pair of 3 so we will multiply 3675 by 3 to make it a perfect square = 3675 * 3 = 11025 = 3x3 x 5x5 x 7x7
Square root of 11025 = 3x5x7
11025's square root is 105
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