find the least number must be subtracted from 6203 to obtain a perfect square. Also find the square root of the number so obtained
Answers
Answer:
Solution :-
To find the least number that must be subtracted from 6203 to obtain a perfect square, we will have to compute the square root of 6203 by Long Division method.
78
______________
7 | 6203
| 49
|_____________
148 | 1303
8 | 1184
|_____________
| 119
|
So, the remainder is 119 and 119 is the least number that must be subtracted from 6203 to get a perfect square.
Now, we will subtract 119 from 6203.
6203 - 119 = 6084
Square root of 6084 by long division.
78
________________
7 | 6084
| 49
|________________
148 | 1184
8 | 1184
|________________
| 0
|
⇒ √6084 = 78
Answer:
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