How do you simplify 12−15√6+8√6−10√36?

2 Answers
Mia
Jun 20, 2016

−48−7√6

Explanation:

12−15√6+8√6−10√36
=12−15√6+8√6−10√62
=12−15√6+8√6−10⋅6
=12−15√6+8√6−60
=12−60+(−15+8)√6
=−48−7√6

Maharshi
Jun 20, 2016

−48−(7⋅√6)

Explanation:

12+(−15⋅√6)+(8⋅√6)+(−10⋅√36)

We know that √36=6.

So, 12+(−15√6)+(8⋅√6)+(−60).

12−60=−48

So, −48+(−15√6)+(8⋅√6)

Now, take out √6 from last two parenthesis.

That would give us −48+(√6⋅(−15+8))

−15+8=−7

So, the answer would be −48−(7⋅√6)

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