Question

Find the smallest number by which 3645 must be divided to get a perfect square also find the square root of resulting number

Answer 1

Step-by-step explanation:

given no.-3645

prime factor of 3645=5×3×3×3×3×3×3

organising the prime factor into pairs

3645=(3×3)(3×3)(3×3)×5

we observe that 5 doesn't exist the pairs

3645÷5=729

thus it resulting number is 729

✓729=27

Therefore,27 is the square root of resulting number is 729