Find Square root of 46656 by Long Division Method.
Describe each and every step clearly.
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Answers
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Answer:-
216
Step-by-step explanation:-
1) Divide 46656 by 2. We get 23328.
2) Divide 23328 by 2. We get 11664.
3) Divide 11664 by 2. We get 5832.
4) Divide 5832 by 2. We get 2916.
5) Divide 2916 by 2. We get 1458.
6) Divide 1458 by 2. We get 729.
7) Divide 729 by 3. We get 243.
8) Divide 243 by 3. We get 81.
9) Divide 81 by 3. We get 27.
10) Divide 27 by 3. We get 9.
11) Divide 9 by 3. We get 3.
Thus, we evaluate the following:-
46656=2×2×2×2×2×2×3×3×3×3×3×3
√46656= √2×2×2×2×2×2×3×3×3×3×3×3
Therefore, the square root of 46656=2×2×2×3×3×3=216.
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Remember:
To find the square root of a number, always divide the number by its smallest factor (other than 1). Keep on dividing the numbers you get by their smallest factors, until you get a prime number as the remainder. Then, write the therefore line. To find the square root, choose one number from every two numbers or pairs. For example, in 2×2, you will choose only one 2. Similarly, in 3×3×3×3, choose one 3 from every pair. Then, multiply the numbers you choose from the numbers and you will get the square root.