# Thread: root fraction

1. ## root fraction

hi this is my question:

$\displaystyle \frac{7}{14 root 2}$.

would the answer be $\displaystyle \frac{7 root 2}{14 root 2}$.

2. Originally Posted by andyboy179
hi this is my question:

$\displaystyle \frac{7}{14 root 2}$.

would the answer be $\displaystyle \frac{7 root 2}{14 root 2}$.
If your question asks you to rationalise the denominator, then you multiply by $\displaystyle \frac{\sqrt{2}}{\sqrt{2}}$.

$\displaystyle \frac{7}{4\sqrt{2}} = \frac{7}{4\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{7\sqrt{2}}{4 \times \sqrt{2}^2}$

3. Originally Posted by AnonymitySquared
If your question asks you to rationalise the denominator, then you multiply by $\displaystyle \frac{\sqrt{2}}{\sqrt{2}}$.

$\displaystyle \frac{7}{4\sqrt{2}} = \frac{7}{4\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{7\sqrt{2}}{4 \times \sqrt{2}^2}$

my question is to rationalise

$\displaystyle \frac{7}{14\sqrt{2}}$

am i right in thinking that i do...

$\displaystyle \frac{7}{14\sqrt{2}}$ = $\displaystyle \frac{14\sqrt{2}}{14\sqrt{2}}$= ?

4. Originally Posted by andyboy179
my question is to rationalise

$\displaystyle \frac{7}{14\sqrt{2}}$

am i right in thinking that i do...

$\displaystyle \frac{7}{14\sqrt{2}}$ = $\displaystyle \frac{14\sqrt{2}}{14\sqrt{2}}$= ?

$\displaystyle \frac{7}{14\sqrt{2}}$ does not = $\displaystyle \frac{14\sqrt{2}}{14\sqrt{2}}$

5. Originally Posted by andyboy179
hi this is my question:
$\displaystyle \frac{7}{14 root 2}$.
would the answer be $\displaystyle \frac{7 root 2}{14 root 2}$.
No.

This?:
$\displaystyle \frac{7}{14\sqrt{2}}$

reduce the 7/14 values
$\displaystyle \frac{7}{14\sqrt{2}} = \frac{1}{2\sqrt{2}}$

$\displaystyle \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} \,\,= \,\,\frac{1\sqrt{2}}{2 \times (\sqrt{2})^2} \,\,=\,\, \frac{\sqrt{2}}{4}$

.typos are a real pain.