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nikklg [1K]
2 years ago
14

Rationalize the denominator of the fraction: √5/√8 - √3

Mathematics
1 answer:
Lana71 [14]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

=============

5

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Answer:

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Step-by-step explanation:

Recognize that 252 = 7*36

and so:

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So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.

Or, if you want to use the change of base formula, you could do the following:

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log base 7 of 36 = -------------- = 1.84

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and so log base 7 of 252 would come out to

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Check:  does 7^2.84 = 252?  YES.  So we know that:

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Answer:

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