All perfect squares end in 1, 4, 5, 6, 9 or 00 (i.e. Even number of zeros). Therefore, a number that ends in 2, 3, 7 or 8 is not a perfect square.
Hence, is not a perfect square as it does not end with the digits 0 , 1 , 4 , 5 , 6 or nor end with an even number of zeroes.
(ii) 23453 Perfect square ends in 0, 1, 4, 5, 6 or 9. And they can only have even number of zeroes at the end. 23453 ends with 3 ∴ It is not a perfect square.
For a number to be a perfect square, each prime factors should be paired. But here 229 cannot be paired. Hence, 2061 is not a perfect square.
222222 have its unit place digit as 2. Therefore, it cannot be a perfect square.
2222, 32523 and 888 are not a perfect square.
7928 has its unit place digit as 8. Therefore, it cannot be a perfect square.
i.e. No natural number between 1024 and 1089 is a square number. ∴ 1069 cannot be a square number.
Ans: The number 4000 has three zeros. Hence, it can never be a perfect square.
The square root of 4096 is expressed as √4096 in the radical form and as (4096)½ or (4096)0.5 in the exponent form. The square root of 4096 is 64. It is the positive solution of the equation x2 = 4096. The number 4096 is a perfect square.
The square root of 10000 is 100. It is the positive solution of the equation x2 = 10000. The number 10000 is a perfect square.
Factorization of 5000 results in 625 x 8. This shows that 5000 is not a perfect square as it has decimal places; hence it is an irrational number. Therefore the above discussion proves that the square root of 5000 is equivalent to 70.71.
The numbers 257 and 5050 are not perfect squares.
Given, the number is 1500. We have to find the least number that must be added to the given number to get a perfect square. This implies that 1500 lies between 38² and 39². Therefore, the perfect square is 1521.
Now, 800 is not a perfect square number because we cannot find any whole number which could be multiplied twice to get 800. Thus, we find an approximate value of the square root of 800 as it is an irrational number.
The square root of a number is the number whose product with itself gives the initial number. The square root of 52 is a non-repeating and non-terminating number. Thus, 52 is not a perfect square.
Answer: If a number has zero at the unit place, its square will always have an even number of zeros. We know the property 2 of perfect square i.e. a number ending in an additional number of zeros is never a perfect square. Therefore the given number 2500000 is not a perfect square.
Is the number 720 a Perfect Square? The prime factorization of 720 = 24 × 32 × 51. Here, the prime factor 5 is not in the pair. Therefore, 720 is not a perfect square.
2000 is a number that is not a perfect square, meaning it does not have a natural number as its square root.
For example, 33 is not a perfect square because there is no way to square an integer number and have the product be 33. We can be sure this is true since 5×5=25 and 6×6=36. Because 33 is between 25 and 36, its square root must be between √25=5 and √36=6.
Now, 44 is not a perfect square number because we cannot find any integer which could be multiplied twice to get 44. Thus, we find an approximate value of the square root of 44, as it is an irrational number.
78 is a natural number, but since there is no other natural number that can be squared to result in the number 78, it is NOT a perfect square.
Here 625 is a perfect square because 625 can be obtained by multiplying either 25 by 25 (25 × 25) or it can also be obtained by multiplying -25 by -25 (-25 × -25). Therefore ± 25 is the square root of 625.
The square of the number 5 is 5 × 5 = 25 and the square of the number 6 is 6 × 6 = 36. The number 27 is lies between 25 and 36, therefore 27 is not a perfect square of an integer.
As one 5 is left in the root, 500 is not a perfect square.