The square root of 112 by division method is 4√7
To answer the question, we need to know what square root is
What is the square root of a number?
The square root of a number is a number which multiplies itself to give us the given number.
The square root of 112 by division method,
Now, to find the square root of 112 by division method, we divide 112 through by successive prime numbers until we can divide no more.
So, 112 ÷ 2 = 56
56 ÷ 2 = 28
28 ÷ 2 = 14
14 ÷ 2 = 7
So, 112 = 2 × 2 × 2 × 2 × 7
112 = 2⁴ × 7
So, √112 = √(2⁴ × 7)
√112 = √2⁴ × √7
√112 = 2² × √7
√112 = 4 × √7
√112 = 4√7
So, square root 112 by division method is 4√7
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