Question

simplify

Answer 1

\[4\sqrt{3}(\sqrt{5}-4\sqrt{6})\]

Answer 2

Use the distributive property. Multiply the coefficients and multiply the radicands.
Then simplify any radicands that contain perfect square factors.

Answer 3

how do you do that

Answer 4

What is:
\[4\sqrt{3}\times \sqrt{5}\]

Answer 5

\[4\sqrt{15}\]

Answer 6

Yes.

Answer 7

What is:
\[4\sqrt{3}\times4\sqrt{6}\]

Answer 8

\[16\sqrt{24}\]

Answer 9

3 times 6 is not 24

Answer 10

\[16\sqrt{18}\]

Answer 11

So now you have:
\[4\sqrt{15}-16\sqrt{18}\]

Answer 12

\[\sqrt{18}=\sqrt{9(2)}\]

Answer 13

So finish by simplifying.

Answer 14

You will get:
\[4\sqrt{15}-48\sqrt{2}\]

Answer 15

is that the answer?