Advertisements
Advertisements
Question
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
2645
Advertisements
Solution
2645 can be factorised as follows:
| 5 | 2645 |
| 23 | 529 |
| 23 | 23 |
| 1 |
2645 = 5 × 23 × 23
Here, prime factor 5 does not have its pair.
If we divide this number by 5, then the number will become a perfect square.
Therefore, 2645 has to be divided by 5 to obtain a perfect square.
2645 ÷ 5 = 529 is a perfect square.
529 = 23 × 23
∴ `sqrt529` = 23
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by the prime factorisation method.
9604
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
252
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
396
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
1800
By just examining the units digit, can you tell which of the following cannot be whole square?
1026
Write true (T) or false (F) for the following statement .
There is no square number between 50 and 60.
The area of a square field is 5184 cm2. A rectangular field, whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
1000 is a perfect square.
Using prime factorisation, find the square roots of 4761
