Category: Algebra, Arithmetic
"Published in Newark, California, USA"
Perform the indicated operations
Solution:
Consider the given equation above
The above equation can be written as
As
a rule in Mathematics, all radicals in the denominator should be
rationalized or eliminated. This type of equation is a difficult one
because the denominator consists of two cube roots of numbers and another
number without a radical sign. We can eliminate the cube root sign at
the denominator by applying the principles of Algebra which is the Sum
and Difference of Two Cubes although the above equation are all numerals
in order to rationalize the denominator as follows
Therefore, the final answer is

This website will show the principles of solving Math problems in Arithmetic, Algebra, Plane Geometry, Solid Geometry, Analytic Geometry, Trigonometry, Differential Calculus, Integral Calculus, Statistics, Differential Equations, Physics, Mechanics, Strength of Materials, and Chemical Engineering Math that we are using anywhere in everyday life. This website is also about the derivation of common formulas and equations. (Founded on September 28, 2012 in Newark, California, USA)
Tuesday, July 9, 2013
Monday, July 8, 2013
Algebraic Operations - Radicals, 23
Category: Algebra, Arithmetic
"Published in Newark, California, USA"
Perform the indicated operations
Solution:
Consider the given equation above
The above equation can be written as
As a rule in Mathematics, all radicals in the denominator should be rationalized or eliminated. This type of equation is a difficult one because the denominator consists of a cube root of a number and another number without a radical sign. We can eliminate the cube root sign at the denominator by applying the principles of Algebra which is the Sum and Difference of Two Cubes although the above equation are all numerals in order to rationalize the denominator as follows
Therefore, the final answer is
"Published in Newark, California, USA"
Perform the indicated operations
Solution:
Consider the given equation above
The above equation can be written as
As a rule in Mathematics, all radicals in the denominator should be rationalized or eliminated. This type of equation is a difficult one because the denominator consists of a cube root of a number and another number without a radical sign. We can eliminate the cube root sign at the denominator by applying the principles of Algebra which is the Sum and Difference of Two Cubes although the above equation are all numerals in order to rationalize the denominator as follows
Therefore, the final answer is
Sunday, July 7, 2013
Algebraic Operations - Radicals, 22
Category: Algebra, Arithmetic
"Published in Newark, California, USA"
Perform the indicated operations
Solution:
Consider the given equation above
The above equation can be written as
If you will multiply a radical with another radical with the same index, then the terms inside the radicals will be multiplied together.
As a rule in Mathematics, all radicals in the denominator should be rationalized or eliminated. In this case, multiply both the numerator and the denominator by ∛2 so that ∛8 becomes 2 in the denominator as follows
Therefore, the final answer is
"Published in Newark, California, USA"
Perform the indicated operations
Solution:
Consider the given equation above
The above equation can be written as
If you will multiply a radical with another radical with the same index, then the terms inside the radicals will be multiplied together.
As a rule in Mathematics, all radicals in the denominator should be rationalized or eliminated. In this case, multiply both the numerator and the denominator by ∛2 so that ∛8 becomes 2 in the denominator as follows
Therefore, the final answer is
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