Because we already know that the root number seven is between 2 and 3, as follows:
Secondly, we take the middle number between 2 and 3, which is 2.5. Because the square of 2.5 is 6.25, the root number seven is between 2.5 and 3.
3, the same principle, we take the middle number 2.75.
Let's take the middle number 2.625.
5. That's it, keep counting and see how many decimal places you want. Finally, we can draw that the root number seven is 2.645.
An example of factor simplification in root sign: simplification √48
Solution: √48=√4*4*3=√ 16*3=4√3.
Note: the numbers in the root number should be decomposed into qualitative factors, and everything that can be written should be included, such as: √48=√4* 12=2√ 12, which is not a complete simplification.
Extended data:
First, the root number is introduced:
The root sign is a mathematical symbol. The root sign is a symbol used to represent the root operation of a number or an algebra. If a? =b, then A is the n-th root of B or A is the 1/n power of B. The n-th handwritten and printed characters are represented by, and the number of roots or algebraic expressions are written in the area surrounded by the left side of the symbol and the right side of the horizontal part above the symbol, which cannot be out of bounds.
Second, the calculation formula:
Conditions: a≥0, n≥2, n ∈ n
Conditions for establishment: a≥0, b≥0, n≥2, n ∈ n
Conditions for establishment: a≥0, b>0, n≥2 and n ∈ n
Conditions for establishment: a≥0, b>0, n≥2 and n ∈ n
References:
Baidu encyclopedia root number