Question

2+3√5 prove how to irrational no



give me correct answer plz guys give me full explanation ​

Answer 1

So,assume that 2+3√5 is rational.

$2 + 3 \sqrt{5} = \frac{p}{q}$ Where p and q are co-primes and q is not equal to 0.

$3 \sqrt{5} = \frac{p}{q} - 2$

$\sqrt{5} = \frac{p}{q} = \frac{ - 2} {3}$

We assume that P Q are co-primes and q is not equal to 0

2+3√5 is irrational number

Hence,Proved.

Answer 2

Answer:

let's x=2 - 3 ✓5 be a rational number

3✓5 =2-x

✓5 = 2- x ÷ 3

scenes X is rational 2 - X is rational and has 2 -3 is also rational number

Right Answer