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Monday, June 17, 2013

Algebraic Operations - Radicals, 2

Category: Algebra, Arithmetic

"Published in Newark, California, USA"

Perform the indicated operations


Solution:

Consider the given equation above


The first that we have to do is to examine the radicals first if they can simplify or not. As a rule in Mathematics, all radicals must be simplified as much as we can. Although the given radical equations are all numbers, then still, we have to follow the principles of Algebra which is "like combines like". The second and the third terms of the given equation above can be rewritten and factored as follows



Take the square root of the numbers inside the radicals that are perfect square, we have



Since all the terms inside the radicals are the same, then we can combine them and therefore, the final answer is