Find the least number which must be added to 6412 so as to get a
perfect square. Also, find the square root of the perfect square so obtained
Answers
Answer:
149&81.
Step-by-step explanation:
square of 81 is 6561.
so,6561-6412=149
149 must be added to 6412 so as to get perfect square.
square root =81
Given number = 6412
Given number = 6412Finding the nearest root is 80
Given number = 6412Finding the nearest root is 8080^{2} = 6400802=6400 which is less than 6412
Given number = 6412Finding the nearest root is 8080^{2} = 6400802=6400 which is less than 6412We take the next number 81^{2} = 6561812=6561
Given number = 6412Finding the nearest root is 8080^{2} = 6400802=6400 which is less than 6412We take the next number 81^{2} = 6561812=6561Therefore, 6561 - 6412 = 1496561−6412=149
Given number = 6412Finding the nearest root is 8080^{2} = 6400802=6400 which is less than 6412We take the next number 81^{2} = 6561812=6561Therefore, 6561 - 6412 = 1496561−6412=149Therefore, the required number = 149
Given number = 6412Finding the nearest root is 8080^{2} = 6400802=6400 which is less than 6412We take the next number 81^{2} = 6561812=6561Therefore, 6561 - 6412 = 1496561−6412=149Therefore, the required number = 1496412 + 149 = 65616412+149=6561 which is a perfect square
Given number = 6412Finding the nearest root is 8080^{2} = 6400802=6400 which is less than 6412We take the next number 81^{2} = 6561812=6561Therefore, 6561 - 6412 = 1496561−6412=149Therefore, the required number = 1496412 + 149 = 65616412+149=6561 which is a perfect squareThe perfect square is the number which is obtained on multiplying the same number two times.
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