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How to rationalize denominators - Casio Office Equipment & Supplies

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SOURCE: rationalizing the denominator

negative root 2.333333333

Posted on Jun 13, 2008

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SOURCE: algebra

Factorise the numerator
Factorise the denominator
What factors you common? It is that simple.
Question 1 4c/6c means 4xc/6xc
4 and c are factors at the top; 6 and c are factors at the bottom.
So, which is the common factor? c of course

Now do the rest
I will give a hand to do Question 5
Factorise the numerator. It gives -3 x r x -2 x 2 x s
factorise the denominator -3 x 3 x 2 x r x 2
Now, carefully pick up the common factors which are -3 and 2 and r
So, the answer is -6r
Hope you understand the process
Good luck

Posted on Mar 03, 2010

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What is common denominator of this equation? 10/2y+8. 7y+8/y2-16. -8/2y-8=

Recall that y^2-16=(y+8)*(y-8). That is the common denominator of the three rational expressions .

Oct 08, 2014 | Office Equipment & Supplies

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Are all integers rational numbers

All integers are rational numbers. The easiest way to see that is to write an integer as a fraction with 1 as a denominator; 4=4/1=8/2; 5=5/1.
Any number that can be written as a ratio of two integers numbers is by definition a rational number ( it is a ratio---rational).
Any decimal number with a periodic decimal part can be cast as a fraction, so it is rational.
An irrational number is a number that cannot be written as a fraction.
Examples: PI, sqRT(2), Sqrt(3), SQRT(5), e. There is an infinite number of them.

Sep 15, 2014 | Computers & Internet

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Rational numbers

Both numerator and denominator are multiples of 2:The fraction can be simplified further. Simplifying, you get the irreducible form of the fraction as t 449/50.

Sep 06, 2014 | Computers & Internet

1 Answer

3sqroot6 + 5sqroot2 over 4sqroot6 - 3sqroot2

Do you have a question? Rationalize the denominator, rationalize the numerator, evaluate the expression?


Jul 13, 2014 | Office Equipment & Supplies

1 Answer

How do I convert square roots (for example square root of 147) into a number like 7 over square root 3. is it possible to do that? Or can the TI-130Xa only convert perfect squares (like square root o

Unfortunately this calculator does not display results in radical form. If you enter SQRT(147) you get 12.12435565...
What you are asking for is called rationalizing an irrational expression. Usually one tries to get rid of radicals that appear in the denominators. Here is an example.
Suppose you have 1/(c+SQRT(d)), and you want to get rid of the radical in the denominator. How to do it?
Recall the identity (a-b)*(a+b)= a^2-b^2. It is true for any a and b

Rationalizing a denominator (usual case)
Now consider (c+SQRT(d)). Multiply it by (c-SQRT(d))
[c+SQRT(d)]*[c-SQRT(d)]=c^2 -[SQRT(d)]^2=c^2-d
You see that there is no radical.
Now take 1/(c+SQRT(d)). To get rid of the radical from the denominator multiply it by (c-SQRT(d)). But to leave the value of your expression 1/(c+SQRT(d)) unchanged, you must multiply both numerator and denominator by (c-SQRT(d)).
The numerator becomes 1*(c-SQRT(d))=c-SQRT(d), and the denominator (c^2-d).
Finally, the rationalized form of the expression 1/(c+SQRT(d)) is

Rationalizing a numerator
Sometimes, people have a radical in the numerator that they want to get rid of and have it in the denominator. The procedure is the same
Example:(c+SQRT(d)), the denominator here is 1
(c+SQRT(d))=(c+SQRT(d))*[c-SQRT(d)]/[c-SQRT(d)]. This gives
You have no radical in the numerator but there is one in the denominator. This is called rationalizing the numerator.
Your case is a lot simpler
Multiply it by SQRT(3)/SQRT(3) which is 1. This gives

SQRT(147)= 21/SQRT(3)

Feb 09, 2014 | Texas Instruments TI-30XA Calculator

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• What constitutes a rational expression? How would you explain this concept to someone unfamiliar with it?

A rational number is that number which can take the form a/b where a and b are non zero integers.
The numerator can easily be divided by the denominator and you get an answer which is exhaustive.

For example 2/5 gives 0.4; 3/10 gives 0.333... this is also rational

Nov 17, 2011 | Mathsoft StudyWorks! Mathematics Deluxe...

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How do you represent the set of rational numbers in symbol form

hi maybe the formula below will help you

A rational number is a number that can be expressed as a fraction with an integer numerator and a non-zero natural number denominator. Fractions are written as two numbers, the numerator and the denominator, with a dividing bar between them. In the fraction written mn or
61f3a73e6711407c72f79e8deb797c6a.png m represents equal parts, where n equal parts of that size make up one whole. Two different fractions may correspond to the same rational number; for example 1⁄2 and 2⁄4 are equal, that is:
38aeb170898abdf282b4ef5400015067.png If the absolute value of m is greater than n, then the absolute value of the fraction is greater than 1. Fractions can be greater than, less than, or equal to 1 and can also be positive, negative, or zero. The set of all rational numbers includes the integers, since every integer can be written as a fraction with denominator 1. For example −7 can be written −7⁄1. The symbol for the rational numbers is Q (for quotient), also written d45a4aa156a8ac07ab80e7d9cf5fa79f.png.

Jun 27, 2010 | Cobra 29 LTD CB Radio

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1.2c 2.x 3.8ac 4 .2ac 5.12r...hope these answers are helpful to you..

Jun 22, 2009 | Vivendi Excel@ Mathematics Study Skills...

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How to solve rational equations on my casio fx 115es calculator?

You must first eliminate the denominators by reducing the different expressions to the same denominators. Use the distributivity property of multiplication to expand your terms. Gather similar monomials. Do all the cleaning to reduce your equation to one of the 2 types that the calculator can handle.[Mode][5:EQN] [3: ax2+bx+c] or [4:ax3+bx2+cx+d]

Remember :Any solution that makes one of the original denominators equal 0 must be rejected.

Hope it helps.

Jun 15, 2009 | Casio FX-115ES Scientific Calculator

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