Find the least number which must be subtracted from 6203 to obtain a perfect square. Also find square root of the number so obtained.
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The least number which must be subtracted from 6203 is 119.
Given number = 6203
In order to obtain a perfect square, we have to find the numbers which are close.
we know that 8² = 64 ∴ 80² = 6400 which is close tothe number 6203.
so then we have to look for the squares of 79 and 78
79² =6241 which is greater than 6203. It can't be subtracted.
78² = 6084 which is smaller than 6203 as we need.
Therefore we get a perfect square at 78²
∴ The required number is 6203-6084 = 119
The square root of the number 6084 = 78.
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Answer:
The answers are 119 and 78........................................
Step-by-step explanation:
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