Question

How do you find the square root of a very large number... NOT USING A CALCULATOR

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I always use a calcuator, but how do you find the square root of a large number without using one?

Thank you so much :)

Answer 1

To find the square root of a very large number you would do prime factorization, or a factor tree.
For example: find the square root of 1800
1800/2 = 900
900 /2 = 450
450 / 2 = 225
225/ 5 = 45
45/5 = 9
9/3 = 3
2 * 2 * 2 * 5 * 5 * 3 * 3
Now match pairs of two.
2 * 5 * 3 sqrt(2)
30sqrt(2)

Answer 2

To find the square root of a large number without calculator first keep it in square and then factorize it and make all number in square form for example √64=√2×2×2×2×2×2=√2square×2square×2square and remove root and multiply them 2×2×2=8
Thus 64 is the square root of 8