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You rationalize denominators by using a form of one. Thus.

sqrt(X + 6)/sqrt(X) * sqrt(X)/sqrt(X)

= sqrt(X2 + 6X)/X

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Q: How do you rationalize the numerator of the square root of x plus 6- the square root of x?
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Related questions

Rationalize 5 over square root of 6?

The idea is to get rid of the square root in the denominator. For this purpose, you must multiply numerator and denominator by the square root of 6 in this case.


How do you rationalize the square root of 5?

You cannot. The square root of 5 is irrational.


How do you rationalize the denominator in this expression 2 divided by the square root of 3 plus the square root of 2?

Multiply everything by the square root of 3 minus the square root of 2 and then times that by 100 - 72 and divide that by 5


What is 1 minus the square root of 3 over 1 plus the square root of 3?

It looks like your question is [1-sqrt(3)] / [1+sqrt(3)], and you want to rationalize the denominator. If this is the case, multiply both numerator and denominator by (1-sqrt(3)), and get for the denominator = -2, and the numerator = 4 - 2*sqrt(3), so the answer is sqrt(3) - 2


How do you rationalize the square root of 5 divided by the square root of 8?

0.625


How do you rationalize denominator surds?

An example may help. If you have the fraction 1 / (2 + root(3)), where root() is the square root function, you multiply top and bottom by (2 - root(3)). If you multiply everything out, you will have no square root in the denominator, instead, you will have a square root in the numerator. If the denominator is only a root, eg root(3), you multiply top and bottom by root(3).


What is 8 over square root of 5?

If you want to rationalize the denominator, then multiply numerator & denominator by sqrt(5), so 8*sqrt(5)/5 = approx 3.578


Rationalize the Denominator- 2 square root of 24 plus square root 54?

(2√24) / √54 = (2√4√6) / (√9√6) = (4√6)/(3√6) = 4/3


How do you rationalize 4 with square root if 2?

4=(sqrt2)4


What is the process of eliminating a radical in the denominator of a fraction?

It is called rationalizing the denominator, and it is done by multiplying numerator and denominator by appropriate numbers. Note that if you do that, you will usually end up with radicals in the numerator. Examples: 1 / (square root of 2): Multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3): Multiply numerator and denominator by (square root of 2 - square root of 3).


How do you rationale the denominator?

Depends on the situation. You usually have to multiply numerator and denominator by some number or expression. Examples: 1 / square root of 2 Here, you have to multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3) Here, you have to multiply numerator and denominator by (square root of 2 - square root of 3).


Can you have a square root in the numerator?

Of course you can. You can have a square root anywhere it needs to be to get the correct answer!