There is no three digit prime number whose square root is a prime number. Prime numbers have no factors other than 1 and themselves. Any number having a prime number as a square root is a composite number.
The answer is 961. The square root of 961 is 31, which is a prime number.
31 squared = 961. 32 squared = 1,024. The first prime number that is greater than 32 is 37. Therefore, 37 is the first prime number whose square exceeds 1,000.
Any prime multiplied by itself would be a square number.
Square root is a mathematical function whose argument needs to be a mathematical quantity or expression. Since helium is neither a mathematical quantity nor an expression, the question makes no sense.
A square root is a mathematical function whose argument must be a number - or an expression that can be evaluated so as to give a number. Since Scotland is neither a number nor an algebraic expression, the question makes no sense.
There are an infinite number of square numbers and prime numbers whose sums are a prime number. Examples are 202 + 103 = 503, 22 + 13 = 17, 102 + 601 = 701, 22 + 163 = 167, 42 + 141 = 157, etc.