What least number must be subtracted from 12345 to get a perfect square
Answers
Answer:
24 is the no required
due to 12321 is a square of 111
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Step-by-step explanation:
Find the least number which must be subtracted from 1989 so as to get a perfect square
=>Separate the digits by taking commas from right to left once in two digits.
=>19, 89
=>When we do so, we get 19 before the comma.
=>Now we have to multiply a number by itself such that the product ≤ 4
=>(The product must be greatest and also less than 19)
=>The above condition will be met by “4”.
=>Because 4 ⋅ 4 = 16
=>Now this situation is explained using long division
=>In the above picture, 16 is subtracted from 19 and we got the remainder 3.
=>Now, we have to bring down 89 and quotient 4 to be multiplied by 2. So we get 8.
=>By multiplying 4 and 84 we get 336.
=>If we subtract 336 from 389, we get 53.
=>We don't have to continue hereafter.
=>44 (44) = 1936
=>If we subtract 53 from 1989, we get 1936 which is the perfect square.
=>Hence 53 is the least number to be subtracted from the given number (1989) to get a perfect square.
=>Find the least number, which must be subtracted from 3250 to make it a perfect square.
=>From this we come to know that the square root of the given number (3250) is greater than 572
=>572 = 3249
=>3250 - 3249 = 1
=>Inorder to convert the given number as the square of 57, we have to subtract 1.
=>Hence 1 is the least number to be subtracted from 3250 to get a perfect square.
=>Find the least number, which must be subtracted from 4000 to make it a perfect square.
=>From this we come to know that the square root of the given number (4000) is greater than 632
=>632 = 3969
=>4000 - 3969 = 31
=>Inorder to convert the given number as the square of 63, we have to subtract 31.
=>Hence 31 is the least number to be subtracted from 4000 to get a perfect square.