I am multiplying radicals and I have a question like this:

square root of ((6x^7)(y^3)) multiplied by square root of ((7x^3)(y^-1))

In the end I got x^(5)y(square root of 42)

Does this look right at all?

2. Originally Posted by cjh824
I am multiplying radicals and I have a question like this:

square root of ((6x^7)(y^3)) multiplied by square root of ((7x^3)(y^-1))

In the end I got x^(5)y(square root of 42)

Does this look right at all?
yes, that is fine..

3. Hello, cjh824!

Simplify: . $\sqrt{6x^7y^3}\cdot\sqrt{7x^3y^{-1}}$

In the end I got: . $x^5y\sqrt{42}$ . . . . Right!

$\sqrt{6x^7y^3}\cdot\sqrt{7x^3y^{-1}} \;=\;\sqrt{(6x^7y^3)(7x^3y^{-1})}$

. . $=\;\sqrt{42x^{10}y^2} \;=\;\sqrt{42}\cdot\sqrt{x^{10}}\cdot\sqrt{y^2} \;=\;x^5y\sqrt{42}$

4. in addition, it should be true in the assumption that x and y are non negative or both negative..

simply stated, x and y should have the same sign..