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add and substract to simplify radical expressions √12+√27     4√3-6√75...

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btstjos | Student, Undergraduate | eNoter

Posted November 4, 2012 at 9:40 PM via web

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add and substract to simplify radical expressions

√12+√27     4√3-6√75

Calculate the distance and the midpoint formula

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted November 5, 2012 at 1:14 AM (Answer #1)

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√12 = √3 `*` 4 = 2√3
√27 = √3 `*` 9 = 3√3
√12 + √27 = 2√3 + 3√3 = 5√3

6√75 = 6√3 `*` 25 = 30√3
4√3 - 30√3 = -26√3

Distance:
absolute value(-26V3 - 5√3)
absolute value(-313)
Distance = 31√3     8.66, -45.03

Midpoint:
1/2 `*` 31√3 = 15.5√3
-26√3 + 15.5√3 = -10.5√3
5√3 - 15.5√3 = -10.5√3
Midpoint = -10.5√3

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