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if you have the expression a + b*sqrt(c), the radical conjugate is a - b*sqrt(c).

this is important because multiplying those two expressions together gives you an integer if a, b, and c are integers.

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16y ago

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Discuss the use of conjugates in radical problems?

Conjugates are often used in radical problems to simplify expressions and remove radicals from denominators. When dealing with a fraction that has a radical in the denominator, multiplying both the numerator and denominator by the conjugate of the denominator allows for the application of the difference of squares formula, which eliminates the radical. This technique simplifies calculations and makes it easier to work with rational expressions. Additionally, using conjugates can help in solving equations involving radicals more efficiently.


You can only use conjugates to rationalize the denominator when the denominator contains one radical term?

No, you can also use conjugates with more than one radical term. For example, if the denominator is root(2) + root(3), you can use the conjugate root(2) - root(3) to rationalize the denominator.


Which properties of mutiplication are used to simplify complex fractions?

The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.


What is the German word for are?

to be- sein wir (we) and sie (they) conjugate to 'sind' ihr (you pl., informal) conjugates to 'seid' Du (you sing, informal) conjugates to 'bist' Sie (you sing. and pl., formal) conjugates to 'sind'


Can you rationalize the denominator using conjugates even when the denominator contains two radical terms?

Yes. For example, the conjugate of (square root of 2 + square root of 3) is (square root of 2 - square root of 3).


When the product of two irrational or imaginary numbers equals a rational number then the two factors are called?

They are called conjugates.


Does the distributive property apply to radicals?

If you mean, do you distribute a number within a radical to all the terms within the parenthesis than yes it does. Is this what you mean? radical(2)*(a+b) = radical(2)*a + radical(2)*b


Can you use conjugates to rationalize the denominator even when the denominator contains two radical terms?

Yes. The original denominator and its conjugate will form the factors of a Difference of Two Squares (DOTS) and that will rationalise the denominator but only if the radicals are SQUARE roots.


What are glutathione conjugates?

aborption of l-glutathione


What has the author S Ramakrishnan written?

S. Ramakrishnan has written: 'Cytotoxic conjugates' -- subject(s): Antibody-drug conjugates, Antibody-toxin conjugates, Cancer, Drug therapy, Immunotherapy, Immunotoxins, Neoplasms, Neoplastic Cell Transformation, Testing, Therapeutic use


How many roots in a radical problem if the index is odd?

An odd number. In the complex field, the number of roots is the same as the index. Complex (non-real) roots come in pairs (complex conjugates) so the number of real roots will also be odd.


Is 3 radical 27 rational?

If, by "3 radical 27" you mean the cuberoot of 27, the answer is YES. If you mean 3 times sqrt(27), the answer is NO.