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
Find the square root of the following number by the prime factorisation method.
529
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.
2645
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.
1764
Find the smallest number by which 180 must be multiplied so that it becomes a perfect square. Also, find the square root of the perfect square so obtained.
A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
A square board has an area of 144 square units. How long is each side of the board?
Using prime factorisation, find which of the following are perfect squares.
729
Using prime factorisation, find the square roots of 4761
Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.
