Hello friends, Previously we have discussed about probability worksheets and in this session we will learn about the radical equations and inequalities problems in grade XII of tamilnadu stateboard syllabus. Radical equations are the type of equations having square root symbol and some of the variables with them. So such equations are the equation of roots. We can perform addition, subtraction, multiplication, and division on such type of equations. To deal with the radical equations we have to perform squaring of the radical expressions and after that we have to solve it in the proper manner as we solve other types of algebraic expressions. For example (√54 + 2x) is a radical equation.
In the radical equations there are the concepts of the nth roots of the expressions in them. The variables are enclosed with root symbol of nth degree where this n could be 1, 2, 3, …, n. The variable which comes in the radical part is called as radicand of the expression. For example in the expression √(5x + 8), (5x + 8) is the radicand part. Radical inequalities are also the part of radical equations. In the similar way radical inequalities are those inequalities which also involve the radical symbol or they are in the square root symbol. Some of the radical equations can be given as:
√(2x + 6), √(7xy) +5, √(x2 y2) + x*y, √(7xy > 21) = (x y + 21), √(4x + 4) + 6 <= 12, etc…
Now talking about inequalities, in the grade XII, the inequality level is too complicated. The inequalities are the type of algebraic equations which has some inequality sign with it, and radical inequality is the expressions that have radical symbol with it. In inequality, some facts are used which state that
If x < y that have the meaning that number x is less than that of number y.
If x > y that have the meaning that number a is greater than that of number y.
if a<=x>=b, then x is greater or equals to a and b is less or equals to x.
If x ≠ y have the meaning that x is not equal to the number y. We can perform several operations in the inequalities like addition, subtraction, division, and multiplication as like other algebraic equations.
When we solve the inequality problems in general way, we use some of the standards like after multiplying or dividing them we flip the sign of the inequality. We use the number lines to solve the inequality problems. Here we also learn about the radical inequalities. The examples of the inequalities can be given as:
- (x / 2) < 8, 4 x + 8 < 13, √(4x + 4) + 6 <= 12, √(x + 4) + 12 = 6, etc.
To solve such type of inequality problems we have to use the pattern of solving for normal radical and inequality.
So this is all about radical equation. I have given a brief Idea of how to deal with radical equation in XII grade and if you want to study about other topics like quartiles and Triangle congruence relationships visit various websites on the internet.
In the radical equations there are the concepts of the nth roots of the expressions in them. The variables are enclosed with root symbol of nth degree where this n could be 1, 2, 3, …, n. The variable which comes in the radical part is called as radicand of the expression. For example in the expression √(5x + 8), (5x + 8) is the radicand part. Radical inequalities are also the part of radical equations. In the similar way radical inequalities are those inequalities which also involve the radical symbol or they are in the square root symbol. Some of the radical equations can be given as:
√(2x + 6), √(7xy) +5, √(x2 y2) + x*y, √(7xy > 21) = (x y + 21), √(4x + 4) + 6 <= 12, etc…
Now talking about inequalities, in the grade XII, the inequality level is too complicated. The inequalities are the type of algebraic equations which has some inequality sign with it, and radical inequality is the expressions that have radical symbol with it. In inequality, some facts are used which state that
If x < y that have the meaning that number x is less than that of number y.
If x > y that have the meaning that number a is greater than that of number y.
if a<=x>=b, then x is greater or equals to a and b is less or equals to x.
If x ≠ y have the meaning that x is not equal to the number y. We can perform several operations in the inequalities like addition, subtraction, division, and multiplication as like other algebraic equations.
When we solve the inequality problems in general way, we use some of the standards like after multiplying or dividing them we flip the sign of the inequality. We use the number lines to solve the inequality problems. Here we also learn about the radical inequalities. The examples of the inequalities can be given as:
- (x / 2) < 8, 4 x + 8 < 13, √(4x + 4) + 6 <= 12, √(x + 4) + 12 = 6, etc.
To solve such type of inequality problems we have to use the pattern of solving for normal radical and inequality.
So this is all about radical equation. I have given a brief Idea of how to deal with radical equation in XII grade and if you want to study about other topics like quartiles and Triangle congruence relationships visit various websites on the internet.
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