Question

check whether (5-/√6)(5+3√6) is rational or not
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Answer 1

Answer:

it is irrational no

if we take 6-√5=p/q (let p and q r rational)

√5=p/q-6

√5 = p-6q/q

here LHS is rational

RHS is irrational

LHS is not equal to RHS

hence it is irrational no.