Question

How to evaluate √2/3?

Answer 1

is it \[\frac{ \sqrt{2} }{ 3 }\]

Answer 2

yes

Answer 3

just think of it as \[\sqrt{2} \times \frac{ 1 }{ 3 }\]

Answer 4

It's an irrational number, it cannot be evaluated, you can only approximate it,
\[\sqrt{2} \approx 1.4142\]
so we have
\[\frac{\sqrt{2}}{3} \approx \frac{1.414}{3}=0.471333....\]

Answer 5

are you sure?

Answer 6

Usually even upto 3 decimal digits is a good approximation if required

Answer 7

then what about 3/√3

Answer 8

how would you evaluate this?

Answer 9

\[\frac{3}{\sqrt{3}}=\frac{\sqrt{3}\sqrt{3}}{\sqrt{3}}=\sqrt{3} \approx 1.732\]

Answer 10

Notice that if you square 1.732, you get
\[(1.732)^2=2.999824 \neq 3\]

Answer 11

So it is only an approximation

Answer 12

but at the back of my answers it is showing √3 as the answer

Answer 13

\[\frac{ \sqrt{2} }{ 3 }=\frac{ 1.414 }{ 3 }=0.471 \approx\]