Question

What is the product of 2√u(√5 +3√45)? simplify

Answer 1

Can you rewrite it using the equation editor?

Answer 2

whats that?

Answer 3

nvm found it

Answer 4

For instance, is it: \(2\sqrt{u}(\sqrt{5} + 3\sqrt{45})\)

Answer 5

yes

Answer 6

Ok. Let's first simplify what's inside the parentheses.
\[2\sqrt{u}(\sqrt{5} + 3\sqrt{9 \times 5})\]\[2\sqrt{u}(\sqrt{5} + 3 \times 3\sqrt{5})\]Can you finish up here?

Answer 7

i understand that part nut i get lost when i combine it with the variable. can you combine the √5 with the 2√u? i should be able to figure it out with a quick example if you don't mind.

Answer 8

Alright. Before we get to that, can you simplify \(\sqrt{5} + s \times 3\sqrt{5}\)?

Answer 9

i can't tell what the number being multiplied by 3 is. looks like an 8 maybe? in that it?

Answer 10

*is

Answer 11

Oh. That s should be a 3.

Answer 12

9√10?

Answer 13

and then what about the \(\sqrt{5}\)?

Answer 14

im gonna go with 2√3 but 99% sure I'm wrong... i have like no idea how to do this radical stuff.

Answer 15

\[\sqrt{5} + 9\sqrt{5} = 10\sqrt{5}\]

Answer 16

So what we have at this point is:
\[2\sqrt{u} \times 10\sqrt{5}\]

Answer 17

What do you think?

Answer 18

ok that makes sense combining like terms.

Answer 19

Here's an example.
\[5\sqrt{3x} \times 7\sqrt{2} \implies 35\sqrt{6x}\]

Answer 20

so then it should be 20√u5???

Answer 21

wow i was way off

Answer 22

oh it was an example didn't see that part.

Answer 23

Yeah. It would be \[20\sqrt{5u}\]Remember that the numbers always come before the variables :)

Answer 24

thanks!

Answer 25

np :)