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# Simplify the algebraic expression.?

√(9xy²z³)

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

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- Anonymous5 years agoFavourite answer
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)?

- Anonymous5 years ago
±(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.

- RobertLv 75 years ago
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

- hayharbrLv 75 years ago
√(3•3•x•y•y•z•z•z)

For each pair of factors, one moves outside the radical so

3yz√(xz)

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