Simplify the expression.

√27x^5 + x√3 + 9√3x

If the simplified expression is written in standard form, what is the leading coefficient?

Question

Simplify the expression. 

 √27x^5 + x√3 + 9√3x

If the simplified expression is written in standard form, what is the leading coefficient?

zzr0ck3r · Answer

sqrt(27x^5) + xsqrt(3) + 9sqrt(3x)?

anonymous · Answer

yes

anonymous · Answer

Not sure exactly what is intended by "simplify," but these are possible ways to state the expression:$$\sqrt{27x^5} + x \sqrt{3} + 9\sqrt{3x}=3x^2 \sqrt{3x}+x \sqrt3 +9\sqrt{3x}=\sqrt3[(3x^2+9) \sqrt x+x]$$

anonymous · Answer

OOPS!  Ran off the end...  Last form has sqrt3 factored out from all terms, and sqrt x from two of them.  Not really sure that qualifies as simplified, but it might be useful in some circumstances.

anonymous · Answer

THank you so much! i appreciate it

anonymous · Answer

Another way to express it might be$$\sqrt3 [(x^2+3)3 \sqrt x+x]$$