Question

Simplify:

Answer 1

what ?

Answer 2

That dont make sence

Answer 3

0.5 + (0.08476/3rdsqrt(D^4/256)) + 1

Answer 4

Can you put it into an equation or atleast provide us with a picture to better assist you.

Answer 5

yup, one sec.

Answer 6

I'm sorry, this computer is incredibly slow!!

Answer 7

@zepdrix How would you do this?

Answer 8

Hey Mr CornDog :D
What do we want to do here? Combine it into a single fraction or something?

Answer 9

\[\Large\rm 0.5+\frac{0.08476}{\sqrt[3]{\frac{D^4}{256}}}+1\]Simplify this?

Answer 10

Yes! That's what we want to simplify, into one fraction.

Answer 11

Combine the 0.5 and 1,\[\Large\rm 1.5+\frac{0.08476}{\sqrt[3]{\frac{D^4}{256}}}\]Apply the cube root to each part separately,\[\Large\rm 1.5+\frac{0.08476}{\frac{\sqrt[3]{D^4}}{\sqrt[3]{256}}}\]Do you remember how to deal with division by a fraction? We can rewrite it as multiplication if we FLIP the fraction in the bottom:\[\Large\rm 1.5+0.08476\cdot \frac{\sqrt[3]{256}}{\sqrt[3]{D^4}}\]

Answer 12

Bring the 0.08476 into the numerator,
and calculate your cube root of 256,\[\Large\rm 1.5+\frac{0.08476\cdot 6.34960}{\sqrt[3]{D^4}}\]

Answer 13

Then to combine both terms, the 1.5 needs the same denominator as the other term.

Answer 14

Rewrite the D using rational exponent,
\[\Large\rm 1.5+\frac{0.53819}{D^{4/3}}\]Then get that denominator,\[\Large\rm \frac{1.5D^{4/3}}{D^{4/3}}+\frac{0.53819}{D^{4/3}}\quad=\quad \frac{1.5D^{4/3}+0.53819}{D^{4/3}}\quad \color{green}{\checkmark}\]

Answer 15

Mmm so what do you think? Too many steps? Confusing?

Answer 16

Very well done, I fully understand. But if we were to multiply that fraction by
\[\frac{ 51.65 }{D ^{4} }\]
would that be
\[\frac{ 77.48D^{\frac{ 4 }{ 3 }}+27.8 }{ D ^{\frac{ 16 }{ 3 }} }\]

Answer 17

I ask because I'm doing root finding for my numerical methods class, and I was given a pretty ugly function, so I'm trying to simplify it before I start.

Answer 18

Mmmmm yah that step looks ok! :O

Answer 19

Thank you very much! It's always appreciated.