1. ## Need more help with radicals

√[3/8]

3√[16] rasied dot 3√[3]

Thank you so much

Please note that on the second question the 3's are the indexs

2. Originally Posted by mr_quick

√[3/8]
Change this to:

$\displaystyle \frac{\sqrt{3}}{\sqrt{8}}$

Since you want to get rid of the square root in the denominator, multiply the top and bottom by $\displaystyle \sqrt{8}$ giving:

$\displaystyle \frac{\sqrt{3}\sqrt{8}}{8}$

So,

$\displaystyle \frac{\sqrt{24}}{8}$

Then if you need to simplify, you can factor out 3 (since 3 x 3 x 3 = 24) giving you:

$\displaystyle \frac{3\sqrt{3}}{8}$

3√[16] rasied dot 3√[3]

Thank you so much

Please note that on the second question the 3's are the indexs
Not sure what you have here, is it $\displaystyle \sqrt[3]{16}\cdot \sqrt[3]{3}$ ??

3. Originally Posted by mollymcf2009
Change this to:

$\displaystyle \frac{\sqrt{3}}{\sqrt{8}}$

Since you want to get rid of the square root in the denominator, multiply the top and bottom by $\displaystyle \sqrt{8}$ giving:

$\displaystyle \frac{\sqrt{3}\sqrt{8}}{8}$

So,

$\displaystyle \frac{\sqrt{24}}{8}$

Then if you need to simplify, you can factor out 3 (since 3 x 3 x 3 = 24) giving you:

$\displaystyle \frac{3\sqrt{3}}{8}$

Not sure what you have here, is it $\displaystyle \sqrt[3]{16}\cdot \sqrt[3]{3}$ ??

TThanks for the help on the first one and yes on the second

4. Originally Posted by mr_quick
TThanks for the help on the first one and yes on the second
Well, $\displaystyle \sqrt[3]{16} \cdot \sqrt[3]{3}$ = $\displaystyle \sqrt[3]{48}$

$\displaystyle =\sqrt[3]{2 \cdot 2 \cdot 2 \cdot 2 \cdot 3}$

$\displaystyle = 2\sqrt[3]{6}$

If you are supposed to get a non-radical answer, use a calculator. You can calculate a cubed root of a number by raising that number to $\displaystyle \frac{1}{3}$

5. Originally Posted by mollymcf2009
Well, $\displaystyle \sqrt[3]{16} \cdot \sqrt[3]{3}$ = $\displaystyle \sqrt[3]{48}$

$\displaystyle =\sqrt[3]{2 \cdot 2 \cdot 2 \cdot 2 \cdot 3}$

$\displaystyle = 2\sqrt[3]{6}$

If you are supposed to get a non-radical answer, use a calculator. You can calculate a cubed root of a number by raising that number to $\displaystyle \frac{1}{3}$
Thank you so much you are a life saver