# ratios with a twist

• January 20th 2009, 05:45 AM
isuckatmaths
ratios with a twist
Q: Divide £6705 in the ratio √2: √8

Its the sqaure root of 2 and 8 I dont get.

• January 20th 2009, 05:57 AM
AlvinCY
$\sqrt{8}=\sqrt{4\times2}=\sqrt{4}\times\sqrt{2}=2\ sqrt{2}$

So the ratio can be re-expressed:

$\sqrt{2}:\sqrt{8}$
$=\sqrt{2}:2\sqrt{2}$
$=1:2$

So we need to £6705 into 3 portions...

£6705 into 3 is £2235 in each portion

So dividing £6705 into a ratio of 1:2 would mean:

£2235:£4470
• January 20th 2009, 05:57 AM
sumit2009
Quote:

Originally Posted by isuckatmaths
Q: Divide £6705 in the ratio √2: √8

Its the sqaure root of 2 and 8 I dont get.