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.
I think term of an expression is a long period of problem
The the fraction is in its lowest terms
Find the GCF of the numerator and the denominator. Divide each of them by that number. If the GCF is 1, the fraction is already in its lowest terms.
simplest form or lowest terms
Find the GCF of the numerator and denominator and divide them both by it. If the GCF is 1, the fraction is in its lowest terms, also known as simplest form.
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.
Yes. For example, the conjugate of (square root of 2 + square root of 3) is (square root of 2 - square root of 3).
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 the denominator is a factor of the numerator. If there is 2x in the numerator and denominator these terms cancel.
For each expression, divide the numerator and denominator by their greatest common factor.
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!
To reduce a fraction to its lowest terms divide the numerator and the denominator by their highest common factor
false , i tried it on apex so its right
Only if it has an equality sign otherwise it is an expression.
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
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.
The process is the same for addition and subtraction. The process is totally different for like and unlike terms.