Question

find the rational numbers a and b: 1/5+√3 =a + b√3 ​

Answer 1

Answer:

a=1/5 b=1

Step-by-step explanation:

$sol {}^{n}$

given,

$\frac{1}{5} + \sqrt{3} = a + b \sqrt{3}$

by equating rational part to rational and irrational part to irrational part we get

$a = \frac{1}{5} and \: \: b \sqrt{3} = \sqrt{3}$

$= > a = \frac{1}{5} and \: b = \frac{ \sqrt{3} }{ \sqrt{3} }$

i.e a= 1/5 ; b =1