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Evgen [1.6K]
3 years ago
10

Rationalize the denominator.

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

7sqrt(15) - 5sqrt(6)

------------------------------

45

Step-by-step explanation:

7 -sqrt(10)

-----------------------

3 sqrt(5) *sqrt(3)

7 -sqrt(10)

-----------------------

3 sqrt(15)

Multiply the top and bottom by sqrt(15)/ sqrt(15)

7 -sqrt(10)               sqrt(15)

----------------------- * ------------

3 sqrt(15)                 sqrt(15)


(7 -sqrt(10))* sqrt(15)

-----------------------------------

3 *15

Distribute


7sqrt(15) - sqrt(150)

------------------------------

45

sqrt(ab) =sqrt(a) sqrt(b)

150 = 25*6

7sqrt(15) - sqrt(25)sqrt(6)

------------------------------

45

7sqrt(15) - 5sqrt(6)

------------------------------

45

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Step by step:

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<u>Step-by-step explanation:</u>

Here we have , So far this year, the average monthly revenue at Lexington Times is 50,711. That is 5% less than the monthly average was last year. We need to find that  What was the average last year . Let's find out:

Let the monthly average was last year be x , According to question the average monthly revenue at Lexington Times is 50,711 but , That is 5% less than the monthly average was last year . Following equation for above scenario is :

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