solving radial terms

Question

add or subtract   simplify by collecting like radial terms if possible

 

5  sr (square root) 80+ sr 125 - sr 20 =

Answer 1

5√(80) + √(125) - √(20)

 

 

We want to break up the radical terms by there factors.

 

5√(16)√(5) + √(25)√(5) - √(4)√(5) =

 

5(4)√5 + 5√5 - 2√5 =

 

20√5 + 5√5 - 2√5

 

 

We can combine common radical terms.

 

23√5