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Rationalize the denominator and simplify. 15sqrt6 / 3 sqrt 5

2 Answers

4 votes

Answer:

final answer is √30

Step-by-step explanation:

User Ethemsulan
by
8.3k points
3 votes
To rationalize the denominator, multiply by√5/√5 (which is 1).
15√6 (√5)
3√5 (√5)

This makes the √5 in the denominator 5.

15√6√5
3(5)

Multiply the √6 and √5 to get√30, which cannot be simplified, so you get

15√30
15

15/15 simplifies to 1, so the final answer is √30

User Mathieu Westphal
by
8.7k points

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