1. Find the perfect square numbers between 30 and 40, 50 and 60?
Perfect Square Numbers between 30 and 40, 50 and 60
Definition of Perfect Square Numbers
Perfect square numbers are the numbers that can be expressed as the product of a number multiplied by itself. For example, 4 is a perfect square number because it can be expressed as 2 x 2.
Perfect Square Numbers between 30 and 40
To find the perfect square numbers between 30 and 40, we need to check which numbers can be expressed as the product of a number multiplied by itself.
31 is not a perfect square number because there is no number that can be multiplied by itself to give 31.
32 is not a perfect square number because it is not divisible by any perfect square number.
33 is not a perfect square number because there is no number that can be multiplied by itself to give 33.
34 is not a perfect square number because it is not divisible by any perfect square number.
35 is not a perfect square number because there is no number that can be multiplied by itself to give 35.
36 is a perfect square number because it can be expressed as 6 x 6.
37 is not a perfect square number because there is no number that can be multiplied by itself to give 37.
38 is not a perfect square number because it is not divisible by any perfect square number.
39 is not a perfect square number because there is no number that can be multiplied by itself to give 39.
40 is a perfect square number because it can be expressed as 4 x 10.
Therefore, the perfect square numbers between 30 and 40 are 36 and 40.
Perfect Square Numbers between 50 and 60
To find the perfect square numbers between 50 and 60, we need to check which numbers can be expressed as the product of a number multiplied by itself.
50 is not a perfect square number because it is not divisible by any perfect square number.
51 is not a perfect square number because there is no number that can be multiplied by itself to give 51.
52 is not a perfect square number because it is not divisible by any perfect square number.
53 is not a perfect square number because there is no number that can be multiplied by itself to give 53.
54 is a perfect square number because it can be expressed as 6 x 6 x 3.
55 is not a perfect square number because there is no number that can be multiplied by itself to give 55.
56 is not a perfect square number because it is not divisible by any perfect square number.
57 is not a perfect square number because there is no number that can be multiplied by itself to give 57.
58 is not a perfect square number because it is not divisible by any perfect square number.
59 is not a perfect square number because there is no number that can be multiplied by itself to give 59.
60 is a perfect square number because it can be expressed as 6 x 10.
Therefore, the perfect square numbers between 50 and 60 are 54 and 60.