If `m` and `n` are natural numbers such that `sqrt(7+sqrt(48))=sqrtm+sqrtn` then `m^2+n^2=`

If n is a natural number, then sqrtn is

If n is a natural number, then sqrt(n) is:

If n is a natural number then sqrtn is

IF n is a natural number then sqrtn is

There exist natural numbers,m & n such that m^(2)=n^(2)+2010.

Statement-1 for every natural number nge2 1/sqrt1 +1/sqrt2 +…..+1/sqrtn gt sqrtn statement -2 for every natural number nge2 sqrt(n(n+1)) lt n+1

Statement-1: For every natural number n ge 2, (1)/(sqrt1)+(1)/(sqrt2)+…..(1)/(sqrtn) gt sqrtn Statement-2: For every natural number n ge 2, sqrt(n(n+1) lt n+1

For what value of m,n, the relation sqrt(mn)=sqrtm.sqrtn is not correct ?

If A.M. and G.M. between two numbers is in the ratio m : n then prove that the numbers are in the ratio (m+sqrt(m^2-n^2)):(m-sqrt(m^2-n^2))dot