Simplification of radical expressions
Simplifying radical expressions numbers includes variables as well as numbers. Just as you break down a number into smaller pieces, you can do the same with variables. When the radical is a square root, you should try for terms raised to an even power(2,4,6,8,etc) and when the radical is a cube root ,you should try to have terms raised to a power of three(3,6,9,12,etc).
Let us take an example. Finding the root of 24 seems a difficult task. The number 24 is not a perfect square but it can be broken down into small pieces where one of these pieces might be a perfect square. The 24 can be divided into 4*6 so it will become 2 under root 6.the simplification of radical expressions is very important so that the result can come in perfect square or proper order. Radical expressions enables you to do work with both rational as well as irrational numbers when simplification of algebraic expressions containning radical expressions is in process. There are materials available online to practice radical expressions and it consists of radical expressions worksheets and number line worksheets.
The objectives of radical expressions are first simplification of radical expressions consisting of numerical, then the estimation of square root to the nearest tenth digit, then the solution of contextual problems that includes square roots, which is followed by determination of number system to which specific terms in a problem belongs. The number system consists of natural numbers, whole numbers, integers, rational and irrational numbers. After this one has to ascertain whether or not the calculated answer to a given problem will be from a different number system than terms in the original problem, ascertain the prediction and proof of whether or not the prediction was correct. Then simplification of radical expressions that consists of both variables and even numbers.Finally the multiplication of radical numbers.
We can discuss the theoretical probability in simplification of radicals also. The probability is the chance of an event that will happen. The probability can be find using following ratio:
P (event) = Number outcomes that are favorable/ total number of outcomes that are possible. We can depict probability as decimal or as percent.
Let’s take an example: if we toss a fair coin, what is the probability that a tail will show in upward direction?
Solution: Tossing a tail is the favorable outcome here. When you toss a coin there are two outcomes that are possible: head or tail. So the chances of tossing a tail are 1 out of 2.
So,P (tail) = ½ = 0.5 = 50%.the probability can be solved using online help for the probability problems
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