Question

Which of the following is equal to sqrt(18x^9y^4)

Answer 1

I think its 3x^3y^2sqrt( 2)

Answer 2

like this?
\[\sqrt{18x^{9y^4}}\]

Answer 3

Like this \(\sqrt{18x^9 y^4}\)

Answer 4

ok! ^_^

Answer 5

so,
x^9 = (x^2)(x^2)(x^2)(x^2)(x)
and if I do
sqrt ( (x^2)(x^2)(x^2)(x^2)(x) )
I get?

Answer 6

I gotta leave soon, are you still here?

Answer 7

there?

Answer 8

\[sqrt(x^9)\]

Answer 9

sorry about that i have to keep refreshing to see what you type :p

Answer 10

it can equal that, it can also equal:

sqrt ( (x^2)(x^2)(x^2)(x^2)(x) )
= x^4sqrt(x)

Answer 11

see,
sqrt(x^2) = x
if we have four x^2 under the square root, that is the same as having 4 x's outside the square root

\[ \sqrt{(x^2)(x^2)(x^2)(x^2)(x)} = x(x)x(x)\sqrt{x} = x^4\sqrt{x}\]

Answer 12

so lets have you try the same thing with this:
\[\sqrt{y^4} = \sqrt{y^?y^?} = y^?\]

Answer 13

I see I get it !
so
y^2 y^2 = y^4

Answer 14

very good! make sure u dont' forget the square roots!
\[\sqrt{y^4} = \sqrt{y^2y^2} = y^2\]

Answer 15

so we have taken care of the y's and the x's, all that is left to look at is the 18

so this is where we are to then:
\[y(x^4)\sqrt{18x} \]

Answer 16

\[\sqrt{18x} = \sqrt{18}\sqrt{x}=\sqrt{2*9}\sqrt{x}=\sqrt{2}\sqrt{9}\sqrt{x}\]

Answer 17

\[3 \sqrt(2) \sqrt(x^9 y^4)\]
Right?

Answer 18

that is a correct statment, but remember, we can reduce the sqrt(x^9y^4) part like we did before

Answer 19

I gotta go, i'm sorry!
you've done great!

Answer 20

Ok thanks!