Question

How to simplify?

Answer 1

\[\sqrt{384x^4y^3}\]

Answer 2

@kropot72

Answer 3

8√(6)√(x^4 y^3)

Answer 4

I don't need the answer directly @Aamirgsen I want to learn how to do it.

Answer 5

oh okay

Answer 6

so we can do it a step at a time

Answer 7

first do the 384

Answer 8

then the x and y

Answer 9

so you'd get 8 * √6 * √x^4y^3

Answer 10

that's weird for some reason

Answer 11

from that for the first part you can get 8x^2y

Answer 12

and then you can't really do anything with the √6

Answer 13

so it's 8x^2y * √6y

Answer 14

all the question marks are square root symbols by the way I don't know why they're showing up like that

Answer 15

Oh okay so like they say
8x^2y*sqrt 6

Answer 16

yup

Answer 17

did that help?

Answer 18

Alright

Answer 19

I think I can explain it more if you need it

Answer 20

okay cool

Answer 21

I don't think that is correct

Answer 22

@MrNood
How would you go about doing it? I don't remember how to do them since it's been some time since I've had to do these

Answer 23

sqrt(384)*sqrt(x^4)*sqrt(y^3)

=
sqrt(384) * x^2 *y^3/2

then simplify the 384

Answer 24

I got
8*x^2*y*sqrt (6y)
Find the highest root of each right?

Answer 25

no - why have you got 6y?

sqrt 384 = sqrt(64)*sqrt(6) = 8 sqrt(6)
\[8\sqrt{6 }\times x ^{2} \times y ^{\frac{ 3 }{2 }}\]

cannot be further simplified I think.

I don't like giving the answer - but cannot see a better way of leading you to it

Answer 26

So that's where the 8 comes from

That's where the x^2 comes from

That's where the y comes from.
So what's left is the 6 and the y still withing the sqrt
So it'll be
8*x^2*y*sqrt (6y)