Question

Prove that √3+5 is an irrational number.

please tell correct​

Answer 1

Answer:

ok. but please mark me BRAINLIEST

Step-by-step explanation:

root3 is irrational because it's neither terminating or repeating decimal number. so any rational added with it will become irrational

so root3 +5 is irrational

please mark me as BRAINLIEST.i need it

Answer 2

Answer:

yes it is an irrational number

Step-by-step explanation:

Let √3 + √5 be a rational number , say r

then √3 + √5 = r

On squaring both sides,

(√3 + √5)2 = r2

3 + 2 √15 + 5 = r2

8 + 2 √15 = r2

2 √15 = r2 - 8

√15 = (r2 - 8) / 2

Now (r2 - 8) / 2 is a rational number and √15 is an irrational number .

Since a rational number cannot be equal to an irrational number . Our assumption that √3 + √5 is rational wrong .

Hence procedure