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An example may help. If you have the fraction 1 / (2 + root(3)), where root() is the square root function, you multiply top and bottom by (2 - root(3)). If you multiply everything out, you will have no square root in the denominator, instead, you will have a square root in the numerator.
If the denominator is only a root, eg root(3), you multiply top and bottom by root(3).
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Why do you need to rationalize the denominator?
It is basically a convention for a standardized form.
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.
What is the rationalizes denominator of 42 divided by the square root of 7?
6
Rationalize 5 over square root of 6?
The idea is to get rid of the square root in the denominator. For this purpose, you must multiply numerator and denominator by the square root of 6 in this case.
Can two irrational numbers have a product as rational?
Yes. A simple example: sqrt(2)*sqrt(2) = 2 This property is used to "simplify" (rationalise the denominator of) surds.
What is rationalize a denominator?
process by which a fraction containing radicals in the denominator is rewritten to have only rational numbers in the denominator.
Why do you need to rationalize the denominator?
It is basically a convention for a standardized form.
To get rid of radicals in the denominator of a fraction you should rationalize the denominator by multiplying the fraction by a helpful form of?
1
Can you rationalize a denominator with more than one radical term?
Yes, you can.
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.
Rationalize the denominator -8 divided by the square root of 18x?
-26
Why rationalize a denominator?
You rationalize a denominator in a question because having a irrational root makes it harder to work with then a irrational in the numerator. I've never heard anyone question it and it is not hard to remove an irrational root. All you have to do is multiply the top and bottom by its conjugate.
What is the rationalizes denominator of 42 divided by the square root of 7?
6
To rationalize a denominator that has more than one term you multiply the fraction by bb where B is the conjugate of the numerator?
No, that is not what you do.
What does it mean to rationalize a denominator?
Sometimes the denominator is an irrational or complex number (depending on the level that you are at). Rationalising the denominator requires to multiply both the numerator and denominator of the fraction by a suitable number - usually the conjugate - so that when simplified, the denominator is rational - normally an integer.
How do you rationalize the denominator of a radical expression that has two terms in the denominator?
You multiply the numerator and the denominator by the "conjugate" of the denominator. For example, if the denominator is root(2) + root(3), you multiply top and bottom by root(2) - root(3). This will eliminate the roots in the denonimator.
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.
