Advertisements
Advertisements
प्रश्न
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.
1750
Advertisements
उत्तर
The square root of 1750 can be calculated by long division method as follows:
| 41 | |
| 4 | `bar17 bar50` -16 |
| 81 | 150 -81 |
| 69 |
The remainder is 69.
Clearly, 412 = 1681 < 1750
422 = 1764 > 1750.
Hence, the number to be added is 1764 − 1750 = 14, and the square root of 1764 is 42.
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by division method.
7921
Find the number of digits in the square root of the following numbers (without any calculation).
4489
Find the square of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
209
Find the square of the following by long division method:
12544
Find the square root the following by long division method:
363609
Find the square root the following by long division method:
20421361
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.
Seeing the value of the digit at unit’s place, state which of the following can be square of a number :
(i) 3051
(ii) 2332
(iii) 5684
(iv) 6908
(v) 50699
Which of the following numbers will have 6 at their unit’s place :
(i) 262
(ii) 492
(iii) 342
(iv) 432
(v) 2442
By what smallest number should 216 be divided so that the quotient is a perfect square. Also find the square root of the quotient.
