Question

Rationalize the Denominator: 3x/√5:(x^(2)yz^(4))

Answer 1

what does the colon represent?

Answer 2

Ugh i formated it on the front page, it should be the fith root of x^2yz^4

Answer 3

\[\sqrt[5]{x^2yz^4}\]

Answer 4

ah ok, well the first rule of these equations is to get rid of the radical in the denominator

Answer 5

Ok, by mutliplying into the denom?

Answer 6

since it is the fifth route, you need to multiply until each variable has a factor of 5 as an exponent

Answer 7

So, x10y5z20?

Answer 8

ah ok, well the first rule of these equations is to get rid of the radical in the denominator

Answer 9

What about
the x by the three?

Answer 10

Oh ok. Sorry im a bit laggy

Answer 11

\[\sqrt[5]{x ^{3}y ^{4}z}\]

Answer 12

if you multiply that to the denominator you will get \[\sqrt[5]{x ^{5}y ^{5}z ^{5}}\] or xyz

Answer 13

Im confused?

Answer 14

\[3x/\sqrt[5]{x ^{2}yz ^{3}} \times \sqrt[5]{x ^{3}y ^{4}z} / \sqrt[5]{x ^{3}y ^{4}z}\]

Answer 15

then it becomes \[(3x \sqrt[5]{x ^{3}y ^{4}z}) / xyz \]

Answer 16

The z is to the four not the y

Answer 17

ok, im sorry for the confusion, this is my first time trying this

Answer 18

is this problem, you have a radical in the denominator, to get rid of that you must make each exponent underneath the radical 5

Answer 19

that way the exponent and the radical cancel out