Question

what is the simplest form of the quptient
3 sqrt 162 / 3 sqrt 2

Answer 1

do you know how to start this problem?

Answer 2

no im having problems with these

Answer 3

you have to find factors of 162 that are perfect squares. whats the biggest perfect square that is a factor of 162?

Answer 4

do you mean 54

Answer 5

54 isnt a perfect square
perfect squares = 1,4,9,16, etc

Answer 6

9

Answer 7

i was dividing by 3

Answer 8

you can factor sqrt(162) into sqrt(81) times sqrt(2). sqrt(81)=9, the sqrt(2) on the top and bottom cancels, then simplify from there

Answer 9

so how would you write this problem out

Answer 10

if you could show me

Answer 11

\[\frac{ 3\sqrt{162} }{ 3\sqrt{2} }\]
the 3 on the top and bottom cancel
\[\sqrt{162}=\sqrt{81}\sqrt{2}=9\sqrt{2}\]
the \[\sqrt{2}\] on the top and bottom cancel, and the answer is 9

Answer 12

so actually you ignore the 3 and divide 162 by 2 to get 81 then find the sqrt of 81 which is 9

Answer 13

yes. then you divide the 3 on top by the 3 on bottom and the sqrt(2) on top by the sqrt(2) on the bottom, and youre left with 9

Answer 14

okay kinda sounds easy enough thank you

Answer 15

welcome:)