SQUARE ROOT of non perfect numbers in 2 sec

There are 2n non-perfect square numbers between two consecutive square numbers n^(2) and (n+1)^(2)

Find the smallest number by which 2925 muse be divided to obtain a perfect square. Also find the square root of the perfect square so obtained.

If tantheta=sqrt(m) , where m is non-square natural number, then sec 2theta is

Is 2352 a perfect square? if no,find the smallest multiple of 2352 which is a perfect square.also find the square root of the new number?

Find the least number which must be added to 8400 to obtain a perfect square. Find this perfect square and its square root.

Find the least number that must be added to 1500 so as to get a perfect square. Also find the square root of the perfect square