Simplify the algebraic expression.?

√(9xy²z³)

Few people seem to get these. On similar problems incorrect answers tend to prevail.

Anonymous2015-12-28T18:27:40Z

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Simplify the algebraic expression.?


√(9xy²z³)

"Few people seem to get these. On similar problems incorrect answers tend to prevail."
I think I see what you did there...

Is it because the answer is actually 3 |yz| √(xz)?

Anonymous2015-12-28T18:32:08Z

±(3yz)√xz

People tend to forget that a square root can be plus or minus. A square root is not a function, because a function is defined to be single valued.

Robert2015-12-28T18:22:04Z

First, separate out all factors that are

perfect squares: √(9y^2z^2)(xz)

By properties of radicals, this = √9y^2z^2 * √xz,

which = 3yz√xz

hayharbr2015-12-28T18:18:39Z

√(3•3•x•y•y•z•z•z)

For each pair of factors, one moves outside the radical so
3yz√(xz)

?2015-12-28T18:58:54Z

√(9xy²z³)
= 3yz√(xz)