*screams with frustration* Ok so irritated. I really can't get this ^3sqrt(135x^8)...simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.

Question

*screams with frustration*  Ok so irritated.  I really can't get this ^3sqrt(135x^8)...simplify by factoring.  Assume that all expressions under radicals represent nonnegative numbers.

saifoo.khan · Answer

$$\large  \sqrt[3]{3 \times 3 \times 3 \times 5 x^8}$$

saifoo.khan · Answer

Can u solve now?

anonymous · Answer

so multiply whats in the radical?

saifoo.khan · Answer

No, i factored out 135.
Or in other words, broke it into pieces so we can simplify it.

saifoo.khan · Answer

Now since it's a cuteroot,
"3" comes out, leaving behind,
$$\large 3 \sqrt[3]{5 \times x^8}$$

anonymous · Answer

Oh ok I see what you did now.  thanks for explaining that for me.

saifoo.khan · Answer

Finally, solve the variable, we will get.
$$\Large 3 x^2 \sqrt[3]{5 x^2}$$

saifoo.khan · Answer

Welcome. Please hit good answer. Thanks.

anonymous · Answer

One more question if anyone can answer it...on the answer saifoo gave am I putting a multiplication symble between the 3x^2 and radical?

saifoo.khan · Answer

No, that's "x" the variable.

saifoo.khan · Answer

Multiplications signs aren't needed if you are doing this online.

anonymous · Answer

Ok thank you.