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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.

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Q: How do you rationalize the denominator of a radical expression that has two terms in the denominator?
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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.


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).


What is the expression in lowest terms?

An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.An expression is in its lowest terms if the greatest common factor of the numerator and denominator is one.


When can you simplify a fraction or a rational algebraic expression?

When the denominator is a factor of the numerator. If there is 2x in the numerator and denominator these terms cancel.


How do you find the value of each expression in lowest terms?

For each expression, divide the numerator and denominator by their greatest common factor.


The number or expression inside a radical symbol?

The term radicand means the number or expression inside the radical symbol. For example, when we have the square root of 2, the 2 is inside the radical symbol. It is the radicand. The radicand may be a number or an algebraic expression. Also, there is not limit to the number of terms the radicand may contain. It may even be infinite!


The first step in reducing a rational expression is to do what to both the numerator and denominator?

To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor


If you need to add radical expressions that have different radicands you should determine whether you can subtract a radical expression and then combine like terms?

false , i tried it on apex so its right


When a variable appears in the denominator of one or more terms it is called equation?

Only if it has an equality sign otherwise it is an expression.


How can we rationalize the divisor in division of radicals?

It is easier to describe using an actual example. Say you have an expression x/sqrt(2). Then multiply by sqrt(2)/sqrt(2) (which is of course equal to 1 and we know that anything multiplied by 1 stays the same. This will get rid of the radical on the bottom. So the expression becomes x/sqrt(2) * sqrt(2)/sqrt(2) = [x*sqrt(2)]/2 where * means multiply


Why is it important to simplify radical expressions?

Simplifying radical expression is simply performing the operations in similar or like terms. This helps eliminate confusion and makes the equation simpler and easier to manage.


Is the process of addition and subtraction of radical expression with like and unlike terms the same?

The process is the same for addition and subtraction. The process is totally different for like and unlike terms.