Represent √12 on the number line
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We can write √12 = √(9 + 3) => √12 = √{32 + (√3)2 } So, for representing √12 on number line, first we have to represent √3 on number. line.23-Jun-2019
Answer:
The root of 12 is represented in the form of √12. Number 12 is an even number and not a prime number. Prime numbers have only two factors, 1 and the number itself, such as 1, 3, 5, etc. As we know, 12 have six factors, 1, 2, 3, 4, 6 and 12 itself, such as,
1 × 12 = 12
2 × 6 = 12
3 × 4 = 12
4 × 3 = 12
6 × 2 = 12
12 × 1 = 12
But the question comes, how can we find out the square root value of 12? First, let us write the factors of 12 as given below.
12 = 2 × 2 × 3
You can see, in the above expression, there is only one square number available on the right-hand side. Therefore, the value of the root of 12 can be written as;
Square root of 12
Taking the square term out of the root we get,
√12 = 2 √3
This is the radical form of √12. We can also write it in decimal form, by putting the value of √3 which is approximately 1.73. Hence,
√12 = 2 × 1.73
√12 = ±3.46 approximately.
Like 12, there are also many numbers which are not perfect squares. For example, 18, 20, 27, etc. are not perfect squares, as they give the value in radical form or decimal form.
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