Question

Find the perfect square of 3675. By prime factorisation

Answer 1

Answer:

The factors of 3675 are 5*5*7*7*3 since 3 doesn't has a pair so we will multiply the number by 3 to get a complete pair of 3

✓(3675*3)=✓(5*5*7*7*3*3)= 5*7*3

So we must multiply 3 to make 3675 a perfect square.

Step-by-step explanation:

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

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