3 years ago

A car rental company charges a $50 flat fee and an additional $20 per day. A second company also

Mathematics

1 answer:

aivan3 [116]3 years ago

8 0

The difference between the flat fees of the two companies is $20

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To rationalize the denominator of 2/square 13+ squared 11 , you should multiply the expression by which fraction?

eimsori [14]

Answer:

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$

Explanation:

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

This means that:

The conjugate of a + b would be a - b

Now, the given expression is $\frac{2}{\sqrt{13}+\sqrt{11}}$

Consider the denominator:

From the above, we can conclude that the conjugate of $\sqrt{13}+\sqrt{11}$ is $\sqrt{13}-\sqrt{11}$

And, remember that we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value

Therefore:

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$ in order to rationalize the denominator

Hope this helps :)

5 0

3 years ago

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A local fun park charges an admission fee plus a fee for each Go-Kart ride. Admission plus five

tino4ka555 [31]

The admission price is $6 and the rides are $2 each.

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3 years ago

Direction: Read and analyze each question below, the write the letter of the correct answer.