Advertisements
Advertisements
प्रश्न
Using prime factorisation, find which of the following are perfect squares.
729
Advertisements
उत्तर
Prime factors of 729 = (3 × 3) × (3 × 3) × (3 × 3)
As grouping, there is no unpaired factor left over.
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
So, 729 is a perfect square.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
729
Find the square root of the following number by the prime factorisation method.
7744
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.
5929
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.
180
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 numbers:
(i) 6, 9, 15 and 20
Examine if the following is a perfect square
725
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
