Advertisements
Advertisements
प्रश्न
Find the least number which must be subtracted from 2037 so that the resulting number is a perfect square.
Advertisements
उत्तर
Clearly; if 12 is subtracted from 2037, the remainder will be a perfect square.
∴ 2037 - 12 = 2025 and `sqrt(2025)` = 45
| 45 | |
| 4 | 2037 16 |
| 85 | 437 425 |
| 12 |
The least number is 12, which must be subtracted from 2037 to make the resulting number a perfect square.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by division method.
576
Find the square root of the following number by division method.
3136
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.
525
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
995
Find the square root the following by prime factorization.
1156
Find the square root the following by long division method:
9653449
Find the square root of 7 correct to two decimal places; then use it to find the value of `sqrt((4+sqrt(7))/(4-sqrt(7)` correct to three significant digits.
Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `(3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.
Which of the following numbers will not have 1 (one) at their unit’s place :
(i) 322
(ii) 572
(iii) 692
(iv) 3212
(v) 2652
Find the square root of the following by long division method.
5625
