Question

Multiply and simplify. Assume that all variables represent nonnegative numbers.
(-5square root 6)( 2square root 3)

Answer 1

Multiply the coefficients and multiply the radicands

Answer 2

-10 square root 18

Answer 3

Now simplify sqrt18

Answer 4

4.24

Answer 5

\[-10\sqrt{18}=-10\sqrt{9 \times 2}=-10\sqrt{9}\sqrt{2}=-10 \times 3 \sqrt{2}=-30\sqrt{2}\]