The calculation of the root number in mathematics is one of the important contents in the second volume of the eighth grade. When solving this kind of problem, we need to master the basic concept and operation rules of the radical sign. The following are some methods and skills about how to solve the math root number calculation problem in the second volume of the eighth grade:
1, understand the meaning of the root sign.
Before solving the problem of calculating the root number, we must first understand the meaning of the root number. The root sign means to find the non-negative square root of a number. For example, √4 equals 2, because the square of 2 equals 4.
2. Decomposition of root causes
When the root number is a complete square number, it can be directly decomposed into factors, and the calculation is simplified. For example, √36 equals √ (6 2), which can be decomposed into 6√ 1.
3. Simplify the operation of the root symbol
The radical sign has some operation rules, which can help us simplify the calculation. One of the laws is the multiplication law of the root number: √(a*b) equals √ a * √ b, according to which the multiplication in the root number can be calculated separately. In addition, you can also use the division rule of the root number: √(a/b) equals √ a/√ b, according to this rule, the division within the root number can be calculated separately.
4. Merge root numbers
When there are the same factors in the root number, they can be combined into one root number and simplified. For example, √ 12+√48 can be combined into √( 12+48) and then calculated.
5. Apply the square formula.
In some cases, the square formula can be used to simplify the calculation of the root number. For example, when the square difference of two numbers is in the root sign, the square formula can be applied: √ (A 2-B 2) equals |a|-|b|. According to this formula, the square difference in the root sign can be simplified to an absolute value and calculated.
The above are some suggestions for the calculation of mathematical roots in the second volume of the eighth grade. In the process of solving problems, we should pay attention to the basic concepts and operation rules of the radical sign, and flexibly use techniques such as decomposition, simplification, merger and square formula to solve the calculation problem of the radical sign more efficiently. I hope these methods and techniques can help you.