Solving Equations with Radicals

Solving Equations with Radicals Solving Equations with Radicals The title of this section is maybe a little misleading. The title seems to imply that weâ&#x20AC;&#x2122;re going to look at equations that involve any radicals. However, we are going to restrict ourselves to equations involving square roots. The techniques we are going to apply here can be used to solve equations with other radicals, however the work is usually significantly messier than when dealing with square roots. Therefore, we will work only with square roots in this section. Before proceeding it should be mentioned as well that in some Algebra textbooks you will find this section in with the equations reducible to quadratic form material. The reason is that we will in fact end up solving a quadratic equation in most cases. However, the approach is significantly different and so weâ&#x20AC;&#x2122;re going to separate the two topics into different sections in this course. In mathematics, we studied different kind concept, rules, methods and various ways to solve the problem. Radical is the one of the concept which is used to solve the problem that related to the mathematics. A radical equation is an equation which contains at least one variable expression into it. Here variable expression must be stuck inside a radical, which is usually considered as square root. In the concept of radical equation, a radical can be any type of root. It means to say that an equation can contain any square root, a cube root or some of the other roots. But in the general mathematical operation, we use the radicals of square root. Know More About :- Application of Trigonometry

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In the general term, the solution of the equation is performed by isolating the variables after that by applying the various mathematical properties into it. But at the time of solving the radical equation, we can perform the solution of variable inside a square root by applying the opposite operation of the radical. It means that by applying the squaring operation on the radicals, we can get our solution: Example: Suppose there is an equation: ( â&#x2C6;&#x161;a )2 = ( 5 ) 2 Solution: here in the above we can see that we perform the squaring operation on the radicals operation. So, equation can be solved by: a = 25 At the time of solving the radical equation we need to remember some of the point that helps in understanding the concept of mathematics and to remove the error or mistake from the final answer. These points are given below: A) The first thing always needs to remember that square the sides not the terms. It means to say that at the time of solving radical equation perform the solution by applying radicals on sides not on terms. B) The second pint is that after getting the final answer, at least check the answer by applying them into the original solution. At the time of solving radical equations, we need to remember the above given points at that time. This whole procedure gives the accurate solution to us. Now in the below we show you some of the some that helps in understanding the concept of solving equations with radicals:.