Question

simplify
4root2- 2root8+ 3/root2

Answer 1

$4 \sqrt{2 } - 2 \sqrt{8} + 3 \sqrt{2 } \\ = 7 \sqrt{2} - 2 \sqrt{8} \\ 7 \sqrt{2} - 2 \sqrt{4 \times 2} \\ = 7 \sqrt{2} - 4 \sqrt{2} \\ = 3 \sqrt{2}$
I HOPE THIS HELPS YOU!

Answer 2

4 root 2 -2root8+3/ root2
first, take L.C.M. of 1,1,root2 i.e. root 2
then u will get
4 root 2 ×root 2 ,i.e., 8
2 root 8 × root 2 ,I. e., 8
and 3
by solving them
8-8+3/root 2
=3/root 2
here, either you can leave the answer or rationalise it
3/root 2 ×root2/root 2

=3root 2/2 is the answer