Advertisements
Advertisements
प्रश्न
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
Advertisements
उत्तर
252 can be factorised as follows:
| 2 | 252 |
| 2 | 126 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
252 = 2 × 2 × 3 × 3 × 7
Here, prime factor 7 does not have its pair.
If we divide this number by 7, then the number will become a perfect square. Therefore, 252 has to be divided by 7 to obtain a perfect square.
252 ÷7 = 36 is a perfect square.
36 = 2 × 2 × 3 × 3
∴ `sqrt36` = 2 × 3 = 36
APPEARS IN
संबंधित प्रश्न
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.
2800
By just examining the unit digit, can you tell which of the following cannot be whole square?
1027
Write true (T) or false (F) for the following statement.
No square number is negative.
Find the square root the following by prime factorization.
529
Find the smallest number by which 1152 must be divided so that it becomes a perfect square. Also, find the square root of the number so obtained.
Find the least square number, exactly divisible by each one of the number:
8, 12, 15 and 20
A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
Examine if the following is a perfect square
725
If `root(3)(1906624) xx sqrt(x)` = 3100, find x
Using prime factorisation, find which of the following are perfect squares.
11250
