Question

What is the simplified form of sqrt 162x^5y^6?

Answer 1

\[\Large \sqrt{162x^5y^6}\]


\[\Large \sqrt{81*2*x^4*x*y^6}\]


\[\Large \sqrt{81x^4y^6*2x}\]


\[\Large \sqrt{(9x^2y^3)^2*2x}\]


\[\Large \sqrt{(9x^2y^3)^2*2x}\]


\[\Large \sqrt{(9x^2y^3)^2}*\sqrt{2x}\]


\[\Large 9x^2y^3\sqrt{2x}\]


So \[\Large \sqrt{162x^5y^6}\] simplifies to \[\Large 9x^2y^3\sqrt{2x}\]


In other words \[\Large \sqrt{162x^5y^6} = 9x^2y^3\sqrt{2x}\]

Answer 2

Where each variable is not negative.

Answer 3

thanks sooooo much!

Answer 4

you're welcome