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Saturday, June 29, 2013

Algebraic Operations - Radicals, 14

Category: Algebra

"Published in Newark, 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



Apply the principles of Binomial Theorem or squaring of a binomial to the above equation as follows

   


Therefore, the final answer is

 

Friday, June 28, 2013

Algebraic Operations - Radicals, 13

Category: Algebra

"Published in Suisun City, 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

Thursday, June 27, 2013

Algebraic Operations - Radicals, 12

Category: Algebra

"Published in Suisun City, 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