Simplifiy. Assume all variables represents positive number.?

Question

sqrt x^4y^3

I came out with: xysqrtxy

Is that right?

Answer 1

it is x^(4/2)y^(3/2)
=x^2y^3/2
=>x^2yrty

Answer 2

squareroot(x^4 y^3)

write it out in terms of squares like this so it is easier to see what can be siimplified:

squareroot(x^2 x^2 y^2 y)

now you can see that there are two x^2 and one y^2 with y left over:

(x^2)*y squareroot(y)

Answer 3

you can factor out all the pieces and then simplify:

sqrt x^4 * sqrt y^3

which is:

x^2 * y sqrt y = x^2ysqrty