Rationalize the denominator, Mathematics

Rationalize the denominator for following.  Suppose that x is positive.

1311_Rationalize the denominator.png


We'll have to start this one off along with first using the third property of radicals to remove the fraction from underneath the radical as is needed for simplification.

1325_Rationalize the denominator1.png

Now, to get rid of the radical in the denominator we required the exponent on the x to be a 5.

It means that we have to multiply by417_Rationalize the denominator2.png thus let's do that.

1750_Rationalize the denominator3.png

Rationalizing the denominator may appear to have no real uses & to be honest we won't see many uses in an Algebra class.  However, if you are on a track which will take you into a Calculus class you will search that rationalizing is useful on occasion at that level.

Now at last we will discuss general version of the first property of radicals.  Recall that while first we wrote down the properties of radicals we needed that a positive number. It was done to make the work in this section a little simple. Though, with the first property that doesn't essentially have to be the case.

Here is the property for a general a (that means positive or negative)

1710_Rationalize the denominator4.png


where a  refer to the absolute value of a.  Absolute value always makes a positive number.

Thus, as a rapid example this means that,

287_Rationalize the denominator5.png

For square roots i.e

785_Rationalize the denominator6.png

Posted Date: 4/6/2013 2:18:20 AM | Location : United States

Related Discussions:- Rationalize the denominator, Assignment Help, Ask Question on Rationalize the denominator, Get Answer, Expert's Help, Rationalize the denominator Discussions

Write discussion on Rationalize the denominator
Your posts are moderated
Related Questions
Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=n

Prove that the Poset has a unique least element Prove that if (A, ) has a least element, then (A,≤)  has a unique least element. Ans: Let (A, ≤) be a poset. Suppose the po

1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent

what is the value of zero to the power raised to zero?

Data entry is performed in 2-person teams. Each 2-person team can enter 520 surveys per day. A selection of 7540 surveys must be entered by day''s end. How many total employees, wo

The complete set of all solutions is called as the solution set for the equation or inequality.  There is also some formal notation for solution sets.  We have to still acknowledge

A bag of 28 tulip bulbs contains 12 red tulip bulbs, 9 yellow tulip bulbs, and 7 purple tulip bulbs. Two bulbs are selected without replacement. Determine, a) The probability th

Solving an equation using Multiplication and Division       A variable is a symbol that represents a number. Usually we use the letters like n , t , or x for variables. For