Question

Explain how you would find the exact value of 3 over the square root of 8..

Answer 1

Can you write this problem in numeric way? @supanick14

Answer 2

how

Answer 3

\[\huge \bf \frac{3}{\sqrt{8}}\]
Is this your problem?

Answer 4

I am sure this is your problem

Answer 5

\[\Huge \sqrt[8]{3}\]
this is the problem?

Answer 6

now, we can write square root of 8 as :-
\[\huge \bf \sqrt{8}=2\sqrt{2}\]

now plug this value in your question,we get
\[\huge \bf \frac{3}{2\sqrt{2}}\]

and \[\huge \bf \sqrt{2}=1.41\]
it is an approximate value

Then,
\[\huge \bf \frac{3}{2 \times 1.41}=\frac{3}{2.82}=1.063\]

so, \[\huge \bf \color{red}{1.063}~is~your~answer.\]

Answer 7

understood? @supanick14

Answer 8

are you sure @DLS this is the problem which is given by you?

Answer 9

@DLS and @supanick14 proof of your question :-
http://www.wolframalpha.com/input/?i=3+over+the+square+root+of+8..

Answer 10

 = 3 ⁄ √8

 = 3 ⁄ √(4 • 2)

 = 3 ⁄ [(√4) • (√2) ]

 = 3 ⁄ (2  • √2) ... this is OK

 = 1.5 ⁄ √2 ... or this

 = 3  • (√2) ⁄ (2  • √2  • √2) ... multiplying by: (√2) ⁄ √2 

 = 3  • (√2) ⁄ 4 ... with the denominator rationalized.


Note:
 ... √2 : is an irrational number since it can't be expressed as either a finite
 ...   decimal number OR a ratio of integer values.

The only way to determine the value of √2 accurately to a finite number of
decimal places is to use infinite series of √2.
The more series terms evaluated, the more accurate the result.

Answer 11

@supanick14 your question said that find the exact value.

Answer 12

understood my way? @supanick14
reply me fast

Answer 13

ya

Answer 14

good

Answer 15

1.063