Question

How do you simplify `(-2-3sqrta)(5-sqrta)`?

Answer 1

`-10-13sqrt(a)+3`

Explanation:

The given factors can be multiplied together using several different methods e.g. (Distributive property; FOIL, Tabular)

Tabular Multiplication: `color(blue)((-2-3sqrt(a)))color(green)((5-sqrt(a)))`

#{: (xx,"|",color(blue)(-2),color(blue)(-3sqrt(a))), ("----",,"--------","--------"), (color(green)(5),"|",-10,-15sqrt(a)), (color(green)(-sqrt(a)),"|",+2sqrt(a),+3a), ("----","----","--------","--------"), (,color(red)(-10),color(red)(-13sqrt(a)),color(red)(+3)) :}#