Question

if root 3=1.732 , find the value of 2/root 3

Answer 1

The value of $\bold{\frac{2}{\sqrt{3}}}$  is 1.154, if the value of \sqrt{3} is 1.732

Given:

The value of $\sqrt{3} =1.732$

To find:

The value of $\frac{2}{\sqrt{3}}$

Solution:

Let us consider that the value of $x=\frac{2}{\sqrt{3}}$

Then rationalizing the $\sqrt{3}$, on the denominator.

Rationalizing means the process of rationalizing the denominator, by rewriting the denominator for make the denominator into rational numbers.  

So that,  

$=\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

As we know that, $\sqrt{3} \times \sqrt{3}=3$.

So, therefore after rationalizing the above equation becomes,     $=\frac{2 \sqrt{3}}{3}$

$=\frac{2 \times 1.732}{3}$

= 1.154

1.154 is the value of $\frac{2}{\sqrt{3}}$.

Answer 2

Answer:

$The \: value \: of \: \frac{2}{\sqrt{3}}=\frac{3.464}{3}\\\: Or \: \\=1.154666...$

Step-by-step explanation:

$Given \: \sqrt{3}=3.1732$---(1)

Now,

$The \: value \: of \: \frac{2}{\sqrt{3}}$

/* Rationalising the denominator , we get */

= $\frac{2\times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}$

= $\frac{2\times \sqrt{3}}{3}$

= $\frac{2 \times 1.732}{3}$

/* from (1)*/

= $\frac{3.464}{3}$

Or

=$1.154666...$

Therefore,

$The \: value \: of \: \frac{2}{\sqrt{3}}=\frac{3.464}{3}\\\: Or \: \\=1.154666...$

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