# Need more help with radicals

• May 14th 2009, 07:15 PM
mr_quick

√[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
• May 14th 2009, 07:42 PM
mollymcf2009
Quote:

Originally Posted by mr_quick

√[3/8]

Change this to:

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

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

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

So,

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

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

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

Quote:

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 $\sqrt[3]{16}\cdot \sqrt[3]{3}$ ??
• May 14th 2009, 08:04 PM
mr_quick
Quote:

Originally Posted by mollymcf2009
Change this to:

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

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

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

So,

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

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

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

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

TThanks for the help on the first one and yes on the second
• May 14th 2009, 08:57 PM
mollymcf2009
Quote:

Originally Posted by mr_quick
TThanks for the help on the first one and yes on the second

Well, $\sqrt[3]{16} \cdot \sqrt[3]{3}$ = $\sqrt[3]{48}$

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

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

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 $\frac{1}{3}$
• May 14th 2009, 09:24 PM
mr_quick
Quote:

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

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

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

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 $\frac{1}{3}$

Thank you so much you are a life saver