Find least number that must be subtracted from 5607 as to get a perfec...
The remainder obtained will be the least number which must be subtracted from 5607 to make it a perfect square.
Complete step by step solution:
First, we will try to find the square root of the given number 5607 by using Division method. Therefore, 131 is the required least number.
Find least number that must be subtracted from 5607 as to get a perfec...
Solution:
To find the least number that must be subtracted from 5607 to get a perfect square, we need to determine the largest perfect square that is less than or equal to 5607.
Step 1: Find the largest perfect square less than 5607
To find the largest perfect square less than 5607, we can take the square root of 5607 and round it down to the nearest whole number.
√5607 ≈ 74.89
Therefore, the largest perfect square less than 5607 is 74^2 = 5476.
Step 2: Calculate the difference
To find the least number that must be subtracted from 5607 to get a perfect square, we subtract the largest perfect square less than 5607 from 5607.
5607 - 5476 = 131
Therefore, the least number that must be subtracted from 5607 to get a perfect square is 131.
Step 3: Find the square root
To find the square root of the perfect square obtained, we can take the square root of 5476.
√5476 ≈ 74
Therefore, the square root of the perfect square obtained is 74.
Summary:
The least number that must be subtracted from 5607 to get a perfect square is 131. The square root of the perfect square obtained is 74.
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