Question

show that 7-√5 is irrational.given that √5 is irrational

Answer 1

Given that ✓5 is irrational
if not so let 7-√5 be rational i.e =p/q where p and q are Co primes
by squaring on both sides we get
49-14√5+25=p^2/q^2
64-14√5=p^2/q^2
(p^2/q^2)-64/14 =√5
LHS is rational and RHS is irrational
since irrational is not equal to rational .therefore the give number is irrational

Answer 2

Answer:

Step-by-step explanation: