Question

find the smallest number by which 3168 is multiplied to make it a perfect square

I Need full explanation ​

Answer 1

Answer:

the answer is 22

Step-by-step explanation:

for these kind of questions we have to use the technique of prime factorisation.

3168 can be resolved in to prime factors like

3168=2^5 * 3^2 * 11

to get a perfect square the powers of prime factor should contain even number.

here, we have 2^5 the nearest even number to 5 is 6 so it should be multiplied by 2.similarly, 11 should be multiplied by 11 to get 11^2.

therefore, the whole number i.e,3128 should be multiplied by 11*2=22

hence,the answer is 22

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