find the least number by which1260 should be multiplied to get perfect square and also find the sqare root of resulting number
Answers
Answer:
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.
Step 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.
Example 2 :
Find the least number, which must be subtracted from 3250 to make it a perfect square.
Solution :
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.
Example 3 :
Find the least number, which must be subtracted from 4000 to make it a perfect square.
Solution :
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.
Answer:
It should be multiplied by 35
Answer= square root of 44100=210
Step-by-step explanation:
1260×35=44,100