Question

4. Find the smallest number by which 3645 must be divided so that it becomes a
perfect square. Also, find the square root of the resulting number.​

Answer 1

Answer:

Step-by-step explanation:

Given number is 3645

the prime factors of 3645

3645=5*3*3*3*3*3*3

Organizing the prime factors into pairs

3645=(3*3)(3*3)(3*3)*5

We observe that only 5 doesn't exist in pair

So,the smallest number that should be divided from 3645 to make it a perfect square is 5

3645÷5= 729

Thus the resulting number is 729

√729=27

There fore , 27 is the square root of resulting number 729

i hope it helps

Answer 2

Answer:

5

when u do the prime factorization of 3645 u get 5 with no pair

thus ,on dividing 3645 by 5 we get 729

square root of 729=27