Question

I know what the answer is, but I don't know how to show my work. METALS!!!

Answer 1

\[\sqrt{30}\times \sqrt{50}\]

Answer 2

\[10\sqrt{15}\]

Answer 3

I just need help with showing the work.

Answer 4

1. Combine the surds

Answer 5

?

Answer 6

\[\sqrt a\sqrt b=\sqrt{ab}\]

Answer 7

\[10\sqrt{15}\] is the answer

Answer 8

I know...

Answer 9

The first step is to combine them into one thing

Answer 10

I thought the first step was to simplify each irrational number so that you can put them together.

Answer 11

Well that also works

Answer 12

But mine would be faster

Answer 13

Yours would be easier

Answer 14

ok. Then show me how to do it your way

Answer 15

\[\sqrt{30}\sqrt{50}=\sqrt{30\times50}=\sqrt{1500}=\sqrt{15\times100}=10\sqrt{15}\]

Answer 16

does that work for all equations?

Answer 17

*surds

Answer 18

And yes

Answer 19

thx. can you show me the other way so I can compare?

Answer 20

\[\sqrt{30}\sqrt{50}=\sqrt{30}\sqrt{2\times25}=5\sqrt{30}\sqrt2=5\sqrt{60}=5\sqrt{15\times4}=10\sqrt{15}\]

Answer 21

How did you get \[\sqrt{30} \sqrt{2\times25} = 5\sqrt{30} \sqrt{2}\]

Answer 22

\[\sqrt{30}\sqrt{2\times25}=\sqrt{30}\sqrt2\sqrt{25}=5\sqrt{30}\sqrt2\]

Answer 23

can you plz explain it?

Answer 24

oh. nevermind

Answer 25

I don't get the last step

Answer 26

\[5\sqrt{15\times4}=5\sqrt{15}\sqrt4=5\sqrt4\sqrt{15}=5\times2\sqrt{15}=10\sqrt{15}\]

Answer 27

oh. thank you so much!

Answer 28

no problem, any more questions?

Answer 29

not right now. thx again!

Answer 30

again, no problem