Question

I need help in working out: 4 - 3 Square root 3 / 5 - 3 Square root 2

Answer 1

\[ 4 - 3 \sqrt{2} OVER 5 - 3 \sqrt{2}\]

Answer 2

use the calculator.
4-(18 sqrt(2))/5
=-1.091168824543142175686079407154913082850818751357013063436...

Answer 3

I forgot to mention, I have to rationalise the denominators!

Answer 4

you have to rationalise the denominator as follows

4 - 3 root2 5 + 3root2 4(5) + 4*3root2 - 5*3root2 - (3root2)^2
---------- x ----------- = -----------------------------------
5 - 3root2 5 + 3root2 (5)^2 - (3root2)^2

Answer 5

this further gives
20 + 12root2 - 15root2 - 18 2 - 3root2
= --------------------------- = -----------
25 - 18 7

Answer 6

if u want u can write it as

2 3
--- - ---- root2
7 7