Find the smallest number that should be substracted from 6972 to find a perfect square
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Related Questions
What least number must be added to 6072 to make it a perfect square?
a. 6
b. 10
c. 12
d. 16
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Hint: We will use the long division method to find the nearest perfect square before and after the given number 6072. In the final step, we will subtract the number 6072 from the greatest perfect square among two, to get the required number.
Complete step-by-step answer:
It is given in the question that we have to find the least number that must be added to 6072 to make it a perfect square. We will use the long division method to find the nearest perfect square just before and after 6072. We can find the square root of 6072 by using the following steps.
Step I: We will first group the digits in pairs, starting with the digit in the units place.
Step II: We will then think of the largest number whose square is equal to or just less than the first period. We will take this number as the divisor and also as the quotient.
Step III: We will subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. This becomes the new dividend.
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Step-by-step explanation:
Find the smallest number that should be substracted from 6972 to find a perfect square