Question

what is this??
sqrt27u^3v^10w^6

Answer 1

@mathlover2014 @iambatman @undeadknight26

Answer 2

\[\sqrt{27u^3 v^10 w^6}\]
Like this?

Answer 3

almost. its v to the tenth

Answer 4

okay, what do you want to with that?

Answer 5

it says simplify the expression

Answer 6

and assume all variables are positive

Answer 7

\[\sqrt{27u^3v ^{10}w^6}\]
Here you can take advantage of a property of radicals:
\[\sqrt{u.v}=\sqrt{u}\sqrt{v}\]
Si, here, we can take the square root of each factor:
\[\sqrt{27u^3v ^{10}w^6}=\sqrt{27}\sqrt{u^3}\sqrt{v ^{10}}\sqrt{w^6}\]

Answer 8

oh okay. yeah I remember learning that. but is that the answer?? arent there supposed to to be like, exponents and fractions and stuff?

Answer 9

dont you do like (27u^3v^10x^6)^1/2

Answer 10

Yes, but I will not give you the answer, I am not allowed to do that.

Answer 11

i dont know where to go from there

Answer 12

i know you cant give the answer. but would you be willing to help me? I dont know where to go after (27u^v^10w^6)^1/2

Answer 13

If you want to take the method if expressing the main radical as a fractionary exponent, you can take advantage of a exponential property:
\[(27u^3v ^{10}w^6)^{\frac{ 1 }{ 2 }}\]
\[(a^n)^m=a ^{mn}\]
This expands to each factor, so:
\[(27^{\frac{ 1 }{ 2 }})(u ^{3\frac{ 1 }{ 2 }})(v ^{10\frac{ 1 }{ 2 }})(w ^{6\frac{ 1 }{ 2 }})\]

Answer 14

and then what? @owlcoffee

Answer 15

simplify the exponents.