express in simplest radical form. sqrt 3 -5 sqrt12

Answer 1

To simplify the expression sqrt(3) - 5sqrt(12), first simplify sqrt(12) as follows:

sqrt(12) = sqrt(4*3) = sqrt(4)*sqrt(3) = 2sqrt(3)

Now the expression becomes:

sqrt(3) - 5(2sqrt(3)) = sqrt(3) - 10sqrt(3)

Combine like terms:

sqrt(3) - 10sqrt(3) = -9sqrt(3)

Therefore, the expression sqrt(3) - 5sqrt(12) simplifies to -9sqrt(3) in simplest radical form.