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Rationalize the Denominator- 2 square root of 24 plus square root 54?
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(2√24) / √54
= (2√4√6) / (√9√6)
= (4√6)/(3√6)
= 4/3
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∙ 13y ago
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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 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 the rationalizes denominator of 42 divided by the square root of 7?
6
You can only use conjugates to rationalize the denominator when the denominator contains one radical term?
No, you can also use conjugates with more than one radical term. For example, if the denominator is root(2) + root(3), you can use the conjugate root(2) - root(3) to rationalize the denominator.
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 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
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.
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).
Rationalize the denominator -8 divided by the square root of 18x?
-26
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 the rationalizes denominator of 42 divided by the square root of 7?
6
You can only use conjugates to rationalize the denominator when the denominator contains one radical term?
No, you can also use conjugates with more than one radical term. For example, if the denominator is root(2) + root(3), you can use the conjugate root(2) - root(3) to rationalize the denominator.
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
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?
You cannot. The square root of 5 is irrational.
How do you rationalize the denominator of a radical expression that has two terms in the denominator?
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.
How do I Rationalize the denominator of the problem 50 square root divided by square root of 14?
3.5714
