Question

5 + root 3 / root 5 - root 3
please get me the answer​

Answer 1

Answer:

5+ 1.732/2.2360-1.732=4.0425975 (ANS)

In the given expression

I've put the value of root 3 =1.732

put the value of root5=2.2360

Answer 2

Question:-

$\frac{5 + \sqrt{3} }{5 - \sqrt{3} }$

Solution:-

Rationalize it

$( \frac{5 + \sqrt{3} }{5 - \sqrt{3} } )( \frac{5 + \sqrt{3} }{5 + \sqrt{3} } )$

We have,

$(a + b)( a-b ) = {a}^{2} - {b}^{2}$

$\frac{ {(5 + \sqrt{ 3 } })^{2} }{ {(5)}^{2} - ( { \sqrt{3} )}^{2} }$

We have,

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab$

$\frac{( {5})^{2} + ( { \sqrt{3} )}^{2} + 2 \times 5 \times \sqrt{3} }{25 - 3}$

$\frac{25 + 3 + 10 \sqrt{3} }{22}$

$\frac{28 + 10 \sqrt{3} }{21}$