Question

I don't know how to do this problem? :(
3.sqrt(18x^7y^6)
I am supposed to simplify it

Answer 1

divide the exponents in the sqrt by 2

Answer 2

\[\sqrt{a^n}=a^{n/2}\]

Answer 3

?? 7/2 and 3??

Answer 4

thats a good start yes

what is 7/2 as a mixed number?

Answer 5

one approach could be like this
3.sqrt(18x^7y^6)\[3~~18^{1/2}x^{7/2}~y^{6/2}\]
\[3~~18^{1/2}x^{3+1/2}~y^{3}\]
\[3~~(9*2)^{1/2}x^{3+1/2}~y^{3}\]
\[3~~9^{1/2}~2^{1/2}x^{3}~x^{1/2}~y^{3}\]
\[3~3~x^{3}~y^{3}~(2x)^{1/2}\]
\[9x^{3}y^{3}\sqrt{2x}\]

Answer 6

4 3/4??

Answer 7

7/2 = 3 + 1/2

Answer 8

wouldn't the 9x^3y^3sqrt(2x) simplify to 3x^3y^3sqrt(2x) ??

Answer 9

simplify? no. as a rule of thumb, the fewer elements you have, the simpler it is

Answer 10

9 is one element

3 3 is two elements

Answer 11

i might have read that a little off tho

Answer 12

would 9 x^3 y^3 sqrt(2x) simplify to 3 x^3 y^3 sqrt(2x)

no, since 9 is not 3

Answer 13

Okay, but 9 x^3 y^3 sqrt(2x) is not one of my options, and 3 x^3 y^3 sqrt(2x) is.. I tried figuring this out on my own, but I cant seem to get it

Answer 14

make sure youve posted the correct information:\[3\sqrt{x^7y^6}\]right?

Answer 15

forgot an 18 under there by accident lol

Answer 16

or is that 3. in front a label of the thrid problem?

Answer 17

No, I made a mistake, I apologies. There is no 3. It is just sqrt18x^7y^6

Answer 18

then yes, 3 x^3 y^3 sqrt(2x) should suffice :)

Answer 19

Thanks so much :)
Do you think you could help me through another one?

Answer 20

i can try

Answer 21

sqrt(3) - sqrt(6) / sqrt(3) + (sqrt(6)

Answer 22

looks to be a conjugate operation

Answer 23

does it say to rationalize the top or bottom?

Answer 24

It says to give the simplest form of the equation @amistre64