## mayankdevnani 2 years ago urgent!!!!

1. mayankdevnani

If $\sqrt{6}=2.449$ then the value of $\frac{3\sqrt{2}}{2\sqrt{3}}$ is close to

2. binary3i

2.449/2

3. UnkleRhaukus

time the numerator and denominator by \sqrt 2

4. mayankdevnani

options- a)1.225 b)0.816 c)0.613 d)2.449

5. binary3i

1.2245

6. mayankdevnani

howz that? @binary3i

7. binary3i

$[3 \sqrt{2}]/[2 \sqrt{3}] = [\sqrt{3} \sqrt{2}]/2=\sqrt{6}/2$

8. mayankdevnani

i don't understand..plz draw it

9. UnkleRhaukus

$\frac{3\sqrt{2}}{2\sqrt{3}}=\frac{3\sqrt{2}}{2\sqrt{3}}\times\frac11$$\qquad\qquad=\frac{3\sqrt 2}{2\sqrt{3}}\times\frac{\sqrt2}{\sqrt2}$$\qquad\qquad=\frac{3\times2}{2\sqrt{6}}$$\qquad\qquad=\frac{3}{\sqrt{6}}$$\qquad\qquad\approx\frac{3}{2.5}$$\qquad\qquad=\frac{12}{10}$$\qquad\qquad=1.2$

10. mayankdevnani

how did you get 12/10 @UnkleRhaukus

11. UnkleRhaukus

$\frac{3}{2.5}=\frac3{2.5}\times\frac{1}{1}$$\qquad=\frac3{2.5}\times\frac{4}{4}$$\qquad=\frac{12}{10}$

12. mayankdevnani

oh!!! i got it !! thank you very much @UnkleRhaukus and @binary3i

13. sirm3d

@binary3i 's solution is the superior solution.

14. binary3i

it depends on the solution you understand

15. sirm3d

$\large \frac{ 3\sqrt2 }{ 2\sqrt3 }\frac{ \sqrt3 }{ \sqrt3 }=\frac{ 3\sqrt 6 }{ 2(3) }=\frac{ \sqrt 6 }{ 2 }=\frac{2.449}{2}$

16. mayankdevnani

ohkk thnx.. @sirm3d