Absolution find out which of the following are not perfect square .why15,372 or55,458 or40,1956 or 12,14,404
Answers
Answer:
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Step-by-step explanation:
A perfect square, is an integer that is the square of an integer. For example 16=4^2, is a perfect square.
From above we can deduce that the units digit of a perfect square cannot be 2, 3, or 7. Discard C and E.
Another property: perfect square always has even powers of its prime factors. The reverse is also true: if a number has even powers of its prime factors then it's a perfect square. For example:
, powers of prime factors 2 and 3 are even.
Make prime factorization of the options:
A. 1266 = 2*3*211. Discard. We could discard 1266 after we got that 1266 = 2*633 = 2*odd, so 2 in 1266 has an odd power, which means that 1266 is NOT a prefect square.
B. 1444 = 2^2*19^2 --> so, 1444 IS a perfect square.
D. 4034 = 2*2017. Discard. We could discard 4034 after we got that 4034 = 2*2017 = 2*odd, so 2 in 4034 has an odd power, which means that 4034 is NOT a prefect square.