1. The problem is to find the value of $\sqrt{25} + \sqrt{4}$.\n\n2. Recall that the square root of a number $x$ is a value that, when multiplied by itself, gives $x$.\n\n3. Calculate each square root separately:\n\n$$\sqrt{25} = 5$$\n$$\sqrt{4} = 2$$\n\n4. Add the results:\n\n$$5 + 2 = 7$$\n\n5. Therefore, the value of $\sqrt{25} + \sqrt{4}$ is $7$.