Question

Sqrt 4xy^3 * sqrt 6y

Answer 1

\[\text{i suppose the question is to simplify?!}\]

Answer 2

Yes it's simplify sorry

Answer 3

\[\sqrt{4xy^3}\times \sqrt{6y}\]
first use one property of radicals
\[\sqrt{4xy^3}\times \sqrt{6y}=\sqrt{4xy^36y}\]

Answer 4

this the property \[\sqrt{a}\sqrt{b}=\sqrt{ab}\]

Answer 5

now we have
\[=\sqrt{4xy^46}=2y\sqrt{6x}\]

Answer 6

can you tell me where 2 came from
and also y?

Answer 7

Square root of 4=2

Answer 8

yes that's correct

Answer 9

4 is a perf square so it can be simplified

Answer 10

and also \[\sqrt{y^4} =y^2\]
y^4 is perfect square too

Answer 11

i realized i made a mistake above
should have gotten \[2y^2\sqrt{6x}\]

Answer 12

Thank you can you stay and help? I'm taking online classes and don't have much help