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Generally, the process involves multiplying the numerator and denominator of the fraction by the same number. This number is selected so that the original denominator becomes rational. In the process the numerator may become rational.
If the original denominator is of the form √b then you multiply the numerator and denominator by √b/√b.
If the original denominator is of the form a+√b then you multiply the numerator and denominator by (a-√b)/(a-√b). NOTE change of sign.
There is a similar process, using complex conjugates, if the denominator is a complex number.
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When dividing complex numbers the first step is to multiply the top and bottom by the complex ----- of the denominator?
"conjugate" That step is called "rationalizing the denominator", although it actually makes the denominator 'real', but not necessarily 'rational'.
How do you convert the complex number to standard form 1 plus 2i over root2 plus i?
Multiply the numerator and denominator by the complex conjugate of the denominator ... [ root(2) minus i ]. This process is called 'rationalizing the denominator'.
A method used to eliminate radicals from the denominator of a fraction?
That is called "rationalizing the denominator". It consists of multiplying the numerator and the denominator by specific terms, which include square roots. Examples:* If the denominator is root(2) (that is, the square root of 2), multiply numerator and denominator by root(2). * If the denominator is root(2) + root(3), multiply numerator and denominator by root(2) - root(3).
Which operation involves complex numbers requires the use of a conjugate to be carried out?
One operation that is used a lot in quantum mechanics is taking the absolute value of the square of a complex number. This is equivalent to multiplying the complex number by its complex conjugate - and doing this is simpler in practice.
Find the square root of the square root of one fourth.?
The square root of the square root is basically the exponent of 1/4- thus, sqrt(sqrt(1/4)) = 11/4/41/4 = 1/sqrt(2).Rationalizing the denominator yields sqrt(2)/2.
What is the importance of the conjugate in rationalizing the denominator of a rational expression that has a radical expression in the denominator?
To eliminate the radical in the denominator.
What is The process called of removing a radical from the denominator in order to simplify the expression?
"rationalizing" the denominator
When dividing complex numbers the first step is to multiply the top and bottom by the complex ----- of the denominator?
"conjugate" That step is called "rationalizing the denominator", although it actually makes the denominator 'real', but not necessarily 'rational'.
How do you convert the complex number to standard form 1 plus 2i over root2 plus i?
Multiply the numerator and denominator by the complex conjugate of the denominator ... [ root(2) minus i ]. This process is called 'rationalizing the denominator'.
A method used to eliminate radicals from the denominator of a fraction?
That is called "rationalizing the denominator". It consists of multiplying the numerator and the denominator by specific terms, which include square roots. Examples:* If the denominator is root(2) (that is, the square root of 2), multiply numerator and denominator by root(2). * If the denominator is root(2) + root(3), multiply numerator and denominator by root(2) - root(3).
What is One over the square root of fifty?
1/ square root of 50 = 1/(5*√2), which when rationalizing the denominator becomes (√2) / 10, and as a decimal is .1414213562...
What is the process of eliminating a radical in the denominator of a fraction?
It is called rationalizing the denominator, and it is done by multiplying numerator and denominator by appropriate numbers. Note that if you do that, you will usually end up with radicals in the numerator. Examples: 1 / (square root of 2): Multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3): Multiply numerator and denominator by (square root of 2 - square root of 3).
When simplifying radical expressions by rationalizing the denominator what is meant by finding the conjugate of the denominator?
The 6th radical is raising something to the 1/6 power, and the 5th radical is the 1/5 power. Dividing means you subtract the exponents, and 1/6-1/5 is -1/30. The answer would be 1/(30th rad of the term).
Which operation involves complex numbers requires the use of a conjugate to be carried out?
One operation that is used a lot in quantum mechanics is taking the absolute value of the square of a complex number. This is equivalent to multiplying the complex number by its complex conjugate - and doing this is simpler in practice.
What does Rationalization?
The Act,process,or practice of rationalizing
What is the rationalizing factor of root 300?
It is root 3.
Find the square root of the square root of one fourth.?
The square root of the square root is basically the exponent of 1/4- thus, sqrt(sqrt(1/4)) = 11/4/41/4 = 1/sqrt(2).Rationalizing the denominator yields sqrt(2)/2.
