# add and substract to simplify radical expressions √12+√27 4√3-6√75 Calculate the distance and the midpoint formula

*print*Print*list*Cite

Expert Answers

samhouston | Certified Educator

√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(-31

*√*3)

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