Question

If ‘a’ and ‘b’ are both positive rational numbers, then (√a + √b)(√a − √b) is​

Answer 1

Step-by-step explanation:

It can be Rational and Irational Both

Answer 2

Answer:

$then \:we \:have \:to \:check \:(√a - √b)(√a + √b) \:is \:rational \:or \:not \:.we\: know \:from \:algebraic \:identities,(x - y)(x + y) = x² - y²so, (√a - √b)(√a + √b) = (√a)² - (√b)²= a - b$$it\: is \:given \:that \:a \:and \:b \:are \:two \:positive \:rational \:numbers.$

$and\: we \:know \:sum \:and \:difference \:of \:two \:rational \:numbers \:will \:give \:a \:rational \:number.$

$i.e., rational ± rational = rationalhence, a - b is a rational number.so, (√a - √b)(√a + √b) is a rational number.$

$\mathcal{MARK \:ME\: AS \:BRAINLIEST}$

$\mathcal{BY \:ROSHAN\: A \:USER \: OF \: BRAINLY}$