Advertisements
Advertisements
Question
Find the square root of: `sqrt(108 xx 2028)`
Advertisements
Solution
`sqrt(108 xx 2028)`
= `sqrt(219024)`
| 468 | |
| 4 | 219024 16 |
| 86 | 590 516 |
| 928 | 7424 7424 |
| x |
Hence, `sqrt(108 xx 2028)` = 468
OR
`sqrt(108 xx 2028)`
| 2 | 108 |
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
| 2 | 2028 |
| 2 | 1014 |
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
= `sqrt(2 xx 2 xx 3 xx 3 xx 3 xx 3 xx 2 xx 2 xx 13 xx 13)`
= 2 × 3 × 3 × 2 × 13
= 468
APPEARS IN
RELATED QUESTIONS
Find the square root of the following number by division method.
529
Find the least number which must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
4000
Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
1825
Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
6412
Find the squares of the following number using the identity (a + b)2 = a2 + 2ab + b2:
510
Find the squares of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
605
Find the square root of the following by long division method:
3915380329
Find the greatest 4-digit number which is a perfect square.
Find the square root of the following by long division method.
5625
Find the square root of the following by long division method.
1.44
