SOLUTION: Hi,I desperately need help with the following questions: 1. Square root n^2 + 12n + 36 2.Simplify the rational expression: x2 – 3x – 10 ___________ _ x2 – x – 20 3.

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Question 196047: Hi,I desperately need help with the following questions:
1. Square root n^2 + 12n + 36
2.Simplify the rational expression:
x2 – 3x – 10
_____________
x2 – x – 20
3. Divide:
2x2 + 5x – 12 ÷ 2x2 – 7x + 6
______________ ________________
9x2 – 16 3x2 – x – 4
4. . Simplify:
√[144x^10y^12z^18]
5. Perform the indicated operations:
√[50] + 2√[32] – √[8]
6. Multiply:
(5√[2] + 2√[3])(√[2] – 2√[3])
7. Rationalize the denominator:
2____
√[6] – √[5]

Thanks a bunch



Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first three to get you started


# 1







# 2

Start with the given expression.


Factor to get .


Factor to get .


Highlight the common terms.


Cancel out the common terms.


Simplify.


So simplifies to .


In other words, where or





# 3



Start with the given expression.


Multiply the first fraction by the reciprocal of the second fraction .


Factor to get .


Factor to get .


Factor to get .


Factor to get .


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify.


FOIL.


So simplifies to .


In other words, where , , , or




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