what are square root and cube root tables
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Answer:
Square Root and Cube Root Table
Memorizing the squares and the square roots of the first few numbers are almost elementary and it can help you solve problems much faster rather than having to work it out. Following is square roots list and Cube root list of the first 15 natural numbers.
Number Square root (√) Cube root (∛)
1 1.000 1.000
2 1.414 1.260
3 1.732 1.442
4 2.000 1.587
5 2.236 1.710
6 2.449 1.817
7 2.646 1.913
8 2.828 2.000
9 3.000 2.080
10 3.162 2.154
11 3.317 2.224
12 3.464 2.289
13 3.606 2.351
14 3.742 2.410
15 3.873 2.466
Step-by-step explanation:
How to find Square Root and Cube Root
To find the square root of the number, we have to determine which number was squared to find the original number. For example, if we have to find the root of 16, then as we know, when we multiply 4 by 4, the result is 16. Hence, √16 = 4. Similarly, if we have to find the cube root of a number says 64, then it is easy to determine that the cube of 4 gives 64. So the cube root of 64 is 4. But if the numbers are very large then we are not able to find the roots, then we have to use the prime factorisation method. Let us see some examples.
Solved Examples
Example 1: Find Square root of 256.
Solution: Given: The number is 256.
Prime factorisation of 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = (2 × 2 × 2 × 2)2 = 162
Taking roots on both the sides we get;
√256 = 16.
Hence, 16 is the answer.
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