Question

prove that under root x + under root y is a irrational number

Answer 1

Answer:

Assume that √x+√y is an rational number

Therefore √x+√y= p/q, where p and q are coprimes and q≠0

therefore,

(√x+√y)² = (p/q)²

⇒ x +2√xy +y = (p/q)²

⇒√xy = p²/q² - (x+y)

here LHS is irrational where as RHS is rational

∴LHS≠RHS

∴Our assumption is wrong

∴√x+√y is irrational

Step-by-step explanation:

Answer 2

⊕ANSWER⊕

Refer below :