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.
2925
उत्तर
2925 can be factorised as follows.
| 3 | 2925 |
| 3 | 975 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
2925 = 3 × 3 × 5 × 5 × 13
Here, prime factor 13 does not have its pair.
If we divide this number by 13, then the number will become a perfect square. Therefore, 2925 has to be divided by 13 to obtain a perfect square.
2925 ÷ 13 = 225 is a perfect square.
225 = 3 × 3 × 5 × 5
∴ `sqrt225` = 3 × 5 = 15
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
9604
Find the square root of the following number by the prime factorisation method.
529
Find the smallest number by which the given number must bew multiplied so that the product is a perfect square:
12150
Write true (T) or false (F) for the following statement.
The square of a prime number is prime.
Find the square rootthe following by prime factorization.
11664
Find the square root the following by prime factorization.
190969
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 cube root of 729 and 6859 prime factorisation
Using prime factorisation, find which of the following are perfect squares.
11250
