Question

what is the product of simplify if possible

Answer 1

\[2\sqrt{10k}*5k \sqrt{2}\]

Answer 2

i'm working on it. i'll get the answer in a few a and explain it

Answer 3

ok thnx

Answer 4

ok so the 1st step for this problem is to put like terms together, so you get:

\[2*5k \sqrt{10k}*\sqrt{2}\]

which then you multiply the like terms together and you get:

\[10k \sqrt{20k}\]

you understand this part so far

Answer 5

yea

Answer 6

i have to go real quick but you can fifnish witing it out and ill reply when i come back

Answer 7

ok next step is look at the square root. you have \[\sqrt{20k}\]

you can simplify that further down and get \[\sqrt{4*5}\sqrt{k}\]

simplified further you have \[\sqrt{4}\sqrt{5}\sqrt{k}\]

we know \[\sqrt{4}=2\]

so now we have \[10k*2*\sqrt{5}\sqrt{k}=20k*\sqrt{5}\sqrt{k}\]

now look and see we have a \[k\]& \[\sqrt{k}\] which when multiplied you get \[k^\frac{ 3 }{ 2 } \]

now put the whole thing together and you have \[20\sqrt{5}k^\frac{ 3 }{ 2 }\]

Answer 8

thnx

Answer 9

you welcome