Question

simplify. Assume that all variables are positive. 3√54y10

Answer 1

what number squared equals 54?

Answer 2

I'm not sure .-.

Answer 3

It would be a really long decimal

Answer 4

that's for Nat to answer

Answer 5

well technically there is but, it is an very long decimal (that is my correction

Answer 6

haven't you heard of the Socratic method?

Answer 7

no

Answer 8

it is not a square root, it is a cubed root

Answer 9

gonna let admaero handle this. Luck mate.

Answer 10

\[\sqrt[3]{54y^{10}}\]

Answer 11

Socrates the person even?

Answer 12

\[\sqrt[3]{54y^{10}}=\sqrt[3]{27\times 2\times y^9\times y}\] is a start

Answer 13

nope, my teacher doesn't really teach, she gives us homework and expects us to understand it

Answer 14

then break it up as
\[\sqrt[3]{27}\sqrt[3]{y^9}\sqrt[3]{2y}\]

Answer 15

thanks satellite

Answer 16

ah, well it would be a similar question either way
I don't know about you satellite73; you know your stuff, but give too close to the answer too soon

Answer 17

the first two you know
you know that
\[\sqrt[3]{27}=3\] because \(3^3=27\)

Answer 18

and you also know that
\[\sqrt[3]{y^9}=y^3\]because
\[(y^3)^3=y^9\]

Answer 19

so your final answer is to put it all together
get
\[\large 3y^3\sqrt[3]{2y}\]

Answer 20

hope the method was clear (socratic or not...)

Answer 21

yes it was. thank you again, i appreciate it

Answer 22

the socratic method is a bit vague to me

Answer 23

if you mean , good guiding question type learning , ok