Question

What is the product of 8the square root of 16 times d. • 2dthe square root of 3.? Simplify if possible.

group like terms?? @jim_thompson5910

Answer 1

this is the expression right?

\[\large 8\sqrt{16d} * 2d\sqrt{3}\]

Answer 2

I think it's 8d sqrt 16 • 2d sqrt 3

Answer 3

yes @jim_thompson5910

Answer 4

actually one sec

Answer 5

Rearrange the terms on the outside of the roots and multiply (steps 2 and 3). Then combine the roots (step 4) and rearrange terms inside the root (step 5). From there you break up the root and simplify.


\[\large 8\sqrt{16d} * 2d\sqrt{3}\]

\[\large 8*2d\sqrt{16d}*\sqrt{3}\]

\[\large 16d\sqrt{16d}*\sqrt{3}\]

\[\large 16d\sqrt{16d*3}\]

\[\large 16d\sqrt{16*3d}\]

\[\large 16d\sqrt{16}*\sqrt{3d}\]

\[\large 16d*4*\sqrt{3d}\]

\[\large 64d\sqrt{3d}\]

Answer 6

I get it now! Thank you! I could actually see what you did each step to get that.

Answer 7

That's great, I'm glad it's making sense