Q. 23.8( 33 Votes )

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Answer :

Given, a number as 3645. We need to find out a number which if multiplied by the given number we should get a perfect square.

Step 1: Resolve 3645 into prime factors



We get, 5 × 9 × 9 × 3 × 3


Step 2: Pair the factors obtained


(9 × 9) × (3 × 3) × 5


Step 3: multiply the number with the factor which is alone.


Here, 9,3 are in pair and 5 is alone.


So,we must multiply the given number by 5 to get a perfect square.


3645 × 5 = 18225.


Hence, 5 should be multiplied to the given number “3645” to make it perfect square.


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