Advertisements
Advertisements
प्रश्न
Find the smallest number by which 10368 be divided, so that the result is a perfect square. Also, find the square root of the resulting numbers.
Advertisements
उत्तर
10368 = `bar(2xx2) xx bar(2xx2) xx bar(2xx2) xx2 xx bar(3xx3) xx bar(3xx3)`
On grouping the prime factors of 10368 as shown; one factors i.e. 2 is left which cannot be paired with equal factor.
| 2 | 10368 |
| 2 | 5184 |
| 2 | 2592 |
| 2 | 1296 |
| 2 | 648 |
| 2 | 324 |
| 2 | 162 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 |
∴ The given number should be divided by 2.
Now `sqrt(10368/2)`
= `sqrt((bar(2xx2) xxbar(2xx2) xx bar(2xx2) xx2 xx bar(3xx3) xx bar(3xx3))/(2)`
= 2 x 2 x 2 x 3 x 3 = 72
APPEARS IN
संबंधित प्रश्न
What could be the possible ‘one’s’ digit of the square root of the given number?
99856
Without doing any calculation, find the number which are surely not perfect squares.
- 153
- 257
- 408
- 441
Find the square root of:
\[23\frac{26}{121}\]
Find the square root of:
\[3\frac{942}{2209}\]
Evaluate `sqrt(1 4/5 xx 14 21/44 xx 2 7/55)`
Find the square root of: 0.2916
Find the square root of: 27.3529
Give reason to show that none of the numbers, given below, is a perfect square.
(i) 2162
(ii) 6843
(iii) 9637
(iv) 6598
State, whether the square of the following number is even or odd?
76
The square root of 225 is 15
