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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.


When is a radical in simplest form?

when there is no radical in the denominator


Does a radical in its simplest from contain a radical in its denominator?

No. One of the rules for "simplest form" is that there may be no radical in the denominator. To fix this, multiply top and bottom of the fraction by the radical denominator. For example, ( 1 / √2) = (1 / √2)(√2 / √2) = (√2 / 2)


What is 15.556 in simplest radical form?

15.556 is a rational number, so there is no sensible radical form.


What is simplest radical form?

Simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots and such left to find. It also means removing any radicals in the denominator of a fraction.


Is radical 121 rational or irrational?

rational


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.


When dividing radicalsif there is a radical in the denominator you have to?

Rationalise the denominator.


What is it called to get the radical out of the denominator in algebra?

Rationalising the denominator.


Is radical 14 is a rational?

No, it is not.


What is the process called of removing a radical from the denominator?

It is called rationalisation [of the denominator].


What is the simplest radical for of 53?

It's already in simplest radical form.