Math, asked by rahulkar2001, 1 year ago

how can we understand a number is perfect squre number

Answers

Answered by shiprachandra
0
If the square root of the number doesn't come in decimal is known as perfect square number.

qais: but you have to answer ...taking all the perfect squares...right
shiprachandra: There are infinite perfect squares
qais: i know
shiprachandra: So think how can I mention all the numbers
qais: but decimals are also there...that is what im talking about
qais: im not saying to mention all the number,,,,im just asking u give basic idea
shiprachandra: Look numbers like 7,13,11 etc. Have their roots in points these are NOT PERFECT SQUARE NUMBERS
shiprachandra: whereas numbers like 4,9,16,25 etc. Don't have their roots in decimal and are known as PERFECT SQUARE NUMBER
qais: i understand what u are trying to say...but you are talking about integer only not decimal perfect square
qais: anyway ..thanks :)
Answered by qais
0
Do prime factorization or simple factorization of any number, and if all the factors come in pair, then that will be perfect square.
For example,
16= 2×2×2×2 = 2²×2² = two pairs of factor 2
0.25 = 0.5×0.5 = one pair of factor 0.5
441 = 3×3×7×7 = one pair of factor 3 and one pair of 7
84= 2×2×3×7 = one pair of factor 2 but factor 3 and 7 are not in pair, so 84 is not perfect square.
and so on.
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