Advertisements
Advertisements
प्रश्न
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.
1008
Advertisements
उत्तर
1008 can be factorised as follows:
| 2 | 1008 |
| 2 | 504 |
| 2 | 252 |
| 2 | 126 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7
Here, prime factor 7 does not have its pair. If 7 gets a pair, then the number will become a perfect square. Therefore, 1008 can be multiplied with 7 to obtain a perfect square.
1008 × 7 = 7056 = 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7
Therefore, 1008 × 7 = 7056 is a perfect square.
∴ `sqrt(7056)` = 2 × 2 × 3 × 7 = 84
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
4096
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.
2925
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
Write five numbers which you cannot decide whether they are square just by looking at the unit's digit.
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
Write true (T) or false (F) for the following statement.
There are fourteen square number upto 200.
Find the square root the following by prime factorization.
8281
A society collected Rs 92.16. Each member collected as many paise as there were members. How many members were there and how much did each contribute?
_______ is added to 242 to get 252
Find the cube root of 729 and 6859 prime factorisation
