Solve (4² + 3²) ÷ √25: Order of Operations Practice

Previously mentioned in the order of operations that exponents come before multiplication and division which come before addition and subtraction (and parentheses always come before everything),

Let's calculate first the value of the expression inside the parentheses (by calculating the values of the terms with exponents inside the parentheses first) :

$(4^2+3^2):\sqrt{25} =(16+9):\sqrt{25} =25:\sqrt{25} =\frac{25}{\sqrt{25}}$where in the second step we simplified the expression in parentheses, and in the next step we wrote the division as a fraction,

$$we'll continue and calculate the value of the square root in the denominator:

$\frac{25}{\sqrt{25}} =\frac{25}{5}$and then we'll perform the division (reducing the fraction essentially):

$\frac{25}{5} =5$Therefore the correct answer is answer B.