Question

2 supra 3 radical din 2 - 0,(3) radical din 8 + 3,6 radical din 18

Va rog ma puteti ajuta ??? :(

Answer 1

$\frac{2}{ 3\sqrt{2} } - 0.(3) \sqrt{8} + 3.6 \sqrt{18}$

$= \frac{2 \sqrt{2} }{3 \times 2} - \frac{3}{9} \times 2 \sqrt{2} + \frac{36}{10} \times 3 \sqrt{2}$

$= \frac{ \sqrt{2} }{3} - \frac{1}{3} \times 2 \sqrt{2} + \frac{18}{5} \times 3 \sqrt{2}$

$= \frac{ \sqrt{2} }{3} - \frac{1 \times 2 \sqrt{2} }{3} + \frac{18 \times 3 \sqrt{2} }{5}$

$= \frac{ \sqrt{2} }{3} - \frac{2 \sqrt{2} }{3} + \frac{54 \sqrt{2} }{5}$

$= \frac{ \sqrt{2} - 2 \sqrt{2} }{3} + \frac{54 \sqrt{2} }{5}$

$= - \frac{ \sqrt{2} }{ 3} + \frac{54 \sqrt{2} }{5}$

$= - \frac{5 \sqrt{2} }{15} + \frac{162 \sqrt{2} }{15}$

$= \frac{ - 5 \sqrt{2} + 162 \sqrt{2} }{15}$

$= \frac{157 \sqrt{2} }{15}$

Answer 2

0,(3)=3/9=1/3
√8=√4•2=2√2

√18=√9•2=3√2
2√2/3-2√2/3+3,6•3√2=
10,8√2=
108/10•√2=
54√2/5