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What does radical conjugates mean?

Updated: 4/28/2022
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15y ago

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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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15y ago
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Q: What does radical conjugates mean?
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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.


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

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

They are called conjugates.


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.


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


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Is 3 radical 27 rational?

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