Math, asked by wwwkoushikkatighar, 10 months ago

prove that the following are irrational

√3+√5​

Answers

Answered by easytikona
7

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 .

Answered by Anonymous
12

❇️❇️❇️❇️❇️❇️❇️❇️❇️❇️❇️

hello \: mate \:  \\

your \: answer \: is \: in \: given \: attachment

❇️❇️❇️❇️❇️❇️❇️❇️❇️❇️❇️

⭐⭐⭐⭐⭐BRAINLIEST PLZ⭐⭐⭐⭐⭐⭐

Attachments:
Similar questions