Find the square root of 104976. | vedclass

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Question

(A) To find the square root of $104976$,we can use the prime factorization method or the long division method.Step $1$: Pair the digits from right to

Vedclass · Accepted Answer

$324$

Vedclass · Answer

(A) To find the square root of $104976$,we can use the prime factorization method or the long division method.Step $1$: Pair the digits from right to left: $10, 49, 76$.Step $2$: Find the largest number whose square is less than or equal to $10$. That is $3^2 = 9$.Step $3$: Subtract $9$ from $10$ to get $1$,then bring down $49$ to get $149$.Step $4$: Double the quotient $(3 	imes 2 = 6)$ and find a digit $x$ such that $6x 	imes x \leq 149$. For $x = 2$,$62 	imes 2 = 124$.Step $5$: Subtract $124$ from $149$ to get $25$,then bring down $76$ to get $2576$.Step $6$: Double the current quotient $(32 	imes 2 = 64)$ and find a digit $y$ such that $64y 	imes y = 2576$. For $y = 4$,$644 	imes 4 = 2576$.Therefore,$\sqrt{104976} = 324$.

Find the square root of $104976$.

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