Question

prove that √5-√7 is an irrational​

Answer 1

Answer:

It is a rational no. if it can be represented in the form p/q where p and q are co primes and q is non-zero.

So,√5-√7=p/q

:- √5 = p/q + √7/1

:- √5 = (p+q√7)/q

Both LHS and RHS are irrational i.e. non terminating and non reccuring decimals.

Step-by-step explanation:

Answer 2

Answer:

if 'n' us a positive integer>1 and 'a' is a positive rational number but not n^th power of any rational number then nth root a or a^1/n