92.8k views
3 votes
Rationalize the denominator.

Rationalize the denominator.-example-1

2 Answers

6 votes

Answer:

21√15 - 15√6 / 135

Step-by-step explanation: First multiply 3√5 with √3 to get 3√15. Then rationalize to get to 21√15 - 3√150 as the numerator. Simplify 3√150 to 15√6, and then you get an answer of 21√15 - 15√6 / 135.

User KRBA
by
8.7k points
4 votes

Answer:

7sqrt(15) - 5sqrt(6)

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

45

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

User Huck
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories