Question

Given that √3 is an irrational prove that 5+2√3/7 is an irrational ​

Answer 1

Step-by-step explanation:

√3 is irrational.........(given)

$5 + \frac{2 \sqrt{3} }{7} \\ \frac{35 + 2 \sqrt{3} }{7}$

now,

we can observe that if we solve it futher we'll not get an integer so,

$5 + \frac{2 \sqrt{3} }{7} \: \: \: is \: irrational$