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Answer :
No, 112 is not a perfect square.
To find the smallest number that can be multiplied to make it a perfect square, you can factorize 112 and identify the missing factor that, when multiplied, would make it a perfect square.
The prime factorization of 112 is:
112 = 2^4 * 7
To make it a perfect square, we need to balance the exponents of all the prime factors. In this case, the missing factor is 2, which needs to be raised to the power of 2 to balance the exponent.
So, the smallest number that can be multiplied to make 112 a perfect square is 2^2 = 4.
When you multiply 112 by 4, you get 448, which is a perfect square because it can be expressed as 4^2 * 7^2 = (4 * 7)^2 = 28^2.
To find the smallest number that can be multiplied to make it a perfect square, you can factorize 112 and identify the missing factor that, when multiplied, would make it a perfect square.
The prime factorization of 112 is:
112 = 2^4 * 7
To make it a perfect square, we need to balance the exponents of all the prime factors. In this case, the missing factor is 2, which needs to be raised to the power of 2 to balance the exponent.
So, the smallest number that can be multiplied to make 112 a perfect square is 2^2 = 4.
When you multiply 112 by 4, you get 448, which is a perfect square because it can be expressed as 4^2 * 7^2 = (4 * 7)^2 = 28^2.
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