Question

prove that 2(root3)+1/root7 is an irrational no​

Answer 1

Step-by-step explanation:

We know that √3 is an irrational umber; so is √7.

2√3=2*√3, where 2 is rational number and √3 irrational.

Rational no.*Irrational no.=Irrational no.

So, 2√3 is irrational.

1/√7=1÷√7, where 1 is rational and √7 irrational.

Rational no./Irrational no=Irrational no.

So 1/√7 is irrational.

Irrational no.+Irrational no=Irrational no.

So,2√3+1/√7 is irrational.

∴proved.