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3 years ago

Rationalize the denominator.

Mathematics

1 answer:

mel-nik [20]3 years ago

3 0

Answer:

7sqrt(15) - 5sqrt(6)

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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)

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

150 = 25*6

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

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7sqrt(15) - 5sqrt(6)

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

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