Question

what number should be multiplied find the number which we should be multiplied by 405 to get a perfect square find the square root of the resultant number

Answer 1

Resolve 405 into prime factors

5 | 405
3 | 81
3 | 27
3 | 9
…| 3

•°• 405 = 5 *3² *3²

Here 5 is not squared

•°• The no. to be multiplied to make 405, a perfect square = 5

405* 5 = 5² * 3² *3²
2025 = 5² * 3² *3²

√2025= 5*3*3
•°• √2025 = 45

;)
hope it helps