Subtract. Write your answer in simplest form.
negative 8 radical 150 minus 9 radical 6
First, we can simplify the square roots:
√150 = √(25 × 6) = √25 × √6 = 5√6
Now we can write down the expression with this simplification:
-8√150 - 9√6
= -8(5√6) - 9√6
= -40√6 - 9√6
Now we can combine the like terms (-40√6 and -9√6) by simply adding their coefficients:
= (-40 - 9)√6
= -49√6
So -8√150 - 9√6 in its simplest form is -49√6.