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Monday, June 24, 2013

Algebraic Operations, Radicals, 9

Category: Algebra, Arithmetic

"Published in Suisun City, California, USA"

Perform the indicated operations


Solution:

Consider the given equation above


If you will square a radical in which the index is 2 or that have a square root sign, then the square root sign in the equation will be cancelled.

If you will multiply a radical with another radical with the same index, then the terms inside the radicals will be multiplied together. In this case, the given above equation can be written as follows

     

Although the above equation consists of numbers only, then we need to apply the principles of Binomial Theorem or squaring of a binomial because the radicals are treated as variables. 






Therefore, the final answer is

Sunday, June 23, 2013

Algebraic Operations, Radicals, 8

Category: Algebra, Arithmetic

"Published in Newark, California, USA"

Perform the indicated operations


Solution:

Consider the given equation above


If you will multiply a radical with another radical with the same index, then the terms inside the radicals will be multiplied together. In this case, the given above equation can be written as follows



Apply the distributive property of multiplication over addition, as follows



 Therefore, the final answer is

 

Saturday, June 22, 2013

Algebraic Operations - Radicals, 7

Category: Algebra, Arithmetic

"Published in Newark, California, USA"

Perform the indicated operations


Solution:

Consider the given equation above


If you will multiply a radical with another radical with the same index, then the terms inside the radicals will be multiplied together. In this case, the given above equation can be written as follows





Apply the distributive property of multiplication over addition, as follows







Therefore, the final answer is