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How do you simplify 2566?

Answer
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Hint: The given question is about the simplification of the term. To simplify the term we need to divide the term 256 into multiple terms, we can divide the term by using the method prime factorization. The square root of a number is the multiplication of the same number. Here in the question, we need to find the sixth root of the term \ [256\]. The sixth root means multiplying the same number six times to get the term 256.

Complete step by step answer:
The given term is 2566
Any number can be divided by the basic number 2.
So, now let’s divide the term 2566 into multiple terms 2.
As we know that
26=64
Now let’s do the prime factorization for the number 256 with 2.
 2|2562|1282|642|322|162|82|42|2|1
So the number 2 is calculated 8 times to get the number 256 .
 256=2×2×2×2×2×2×2×2
We need the simplified term which can be multiplied six times to get the number 256 .
Now we can simplify the term 2566
2566=26646
As the simplified is in terms of 2 and 4.
Now again let’s simplify the above equation in the terms of 2.
2566=2.226
And we get the simplified term that is
2566=2.23
2566=2.23
Hence the simplified term 2566 is 2.23.

Note:
 Square root is inverse of the square. Squaring of numbers results in the higher value but the square root of several results from the lower value is known as simplified value. The square root is written as 12 in exponent form whereas the square is written as 2 In exponent form.
For example
Square of 2 means multiplying 2 two times.
22=4
 2×2=4
The square root of 4 means dividing the number exactly into half.
4=2