Question

tell me answer who gave me correct answer I will follow them ​

Answer 1

Solution:

Given that √3 = 1.732 and √2 = 1.414, then find the value of 1/√3 - √2.

$\tt \large\dfrac{1}{ \sqrt{3} - \sqrt{2}}$

$\sf{ = \dfrac{1 \times ( \sqrt{3} + \sqrt{2})}{( \sqrt{3} - \sqrt{2}) \: ( \sqrt{3} + \sqrt{2})}}$

$\sf{ = \sqrt{3} + \sqrt{2}}$

$\sf{ =3.146.}$

See the attachment for more detailed answer.

Answer 2

$\dag \bf\red { \:Answer} \\ \\ \colorbox{pu}{ \blue {\boxed{\red {\boxed{\green{\boxed{ \mathbb{ \frac{ 1 }{ \sqrt{3} + \sqrt{2} } }}}}}}}}$

$\dag \bf\red { \:step \: 1} \\ \\ \colorbox{pu}{ \blue {\boxed{\red {\boxed{\green{\boxed{ \mathbb{{ \frac{ \sqrt{3} + \sqrt{2} }{( \sqrt{ 3} - \sqrt{2} )( \sqrt{3} + \sqrt{2} )} } }}}}}}}}$

$\dag \bf\red { \:step \: 2} \\ \\ \colorbox{pu}{ \blue {\boxed{\red {\boxed{\green{\boxed{ \mathbb{{ \frac{ \sqrt{3} + \sqrt{2} }{3 - 2} } }}}}}}}}$

$\dag \bf\red { \:step \: 4}$

$\bf \implies \sqrt{3} + \sqrt{2}$

$\dag \bf\red { \:step \: 5}$

$\sf \implies{1.732 + 1.414}$

$\dag \bf\red { \:solution} \\ \\ \colorbox{pu}{ \blue {\boxed{\red {\boxed{\green{\boxed{ \mathbb{{ 3.146 } }}}}}}}}$