Radical Problems of 8th Grade
Hello friends, in this article we will put some light on an important topic that we learn from the primary class but as the class changes and we move to higher class the complexity of the topics also increases. You all must be well versed with radicals and you all must feel that this topic is simple, but as we move to different classes, its definition changes and with this, method of simplification also changes as different type of things are included in all the topics. I always use to say an important thing that all the topics of math are interrelated. In this article the main point to be discussed is Radicals in Class 8th, The 8th class is the last class of middle school and after this students move to higher standards. In this class radicals are not limited to determine simply roots like square or cube. But, in this class student learn how to solve the problems related to fractions containing radicals, complex radicals in which we have to perform several operations like multiplication addition, subtraction.
Radicals containing fractions is the first topic to be discussed here. In this, radicals are present in denominator and numerator. Students understand all the things easily with help of examples so take an example and see how to simplify radicals. √(25/49),
In this problem, simply take the square root of both the numerator and denominator. When we calculate this we get:
√52/72
In this, we can remove the square root by squaring numbers, and we get 5/7. After this simple example let’s move on the other complex example which students of 8th class study.
Simplify √ (12×2 – 9×2)(3y5)(z7),
In this, first combine the like terms in the radical, then we get,
√(3×2)(3y5)(z7). Now, arrange all the factors with the same base,
√(3)(3)(x2)(x5)(z7), after this determine the index of the radical: the index is defined as the small number cradled just above the radical symbol. If no number is there then by default its value is square root. In this nothing is given in front of the sign so index is square.
√32. x2(y2)2.y.(z3)2.z,
3xy2 z3 √yz.
In this way we solve radicals. Just start from the first step and when you follow each step properly then you will not face any problems in solving the questions. Students can take help of Solve Algebra Problems and Math Equation Solver and many other tools to solve the math problems directly. And they can see steps involved in solving the problem and learn how to solve them.
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