Advertisements
Advertisements
प्रश्न
By splitting into prime factors, find the square root of 396900.
Advertisements
उत्तर
`sqrt(396900)`
= `sqrt(bar(2 xx 2) xx bar(3 xx 3) xx bar(3 xx 3) xx bar(5 xx 5) xx bar(7 xx 7)`
= 2 x 3 x 3 x 5 x 7 = 630
| 2 | 396900 |
| 2 | 198450 |
| 3 | 99225 |
| 3 | 33075 |
| 3 | 11025 |
| 3 | 3675 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 |
APPEARS IN
संबंधित 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.
768
Find the smallest square number that is divisible by each of the numbers 4, 9, and 10.
Write true (T) or false (F) for the following statement.
The difference of two square numbers is a square number
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?
Find the least square number, exactly divisible by each one of the numbers:
(i) 6, 9, 15 and 20
Find the least square number, exactly divisible by each one of the number:
8, 12, 15 and 20
Write the prime factorization of the following number and hence find their square root.
9604
Find the smallest perfect square divisible by 3, 4, 5 and 6.
Find the square root of 6400.
