First we simplify calculations that are in parentheses. Second, we calculate exponents and roots. Then, we simplify multiplication and division, which are solved on the same level of importance and from left to right. Finally, we calculate addition and subtraction, which are also on the same level of importance, from left to right. Let's now consider our expression.
4 ( sqrt(147/3) + 3)
We first need to simplify the value of the expression in the parentheses. Within the parentheses, we need to start by calculating the square root. To find the value of the root, we simplify its radicand, which in this case is a quotient.
4(sqrt(147/3)+3) divide ⟶ 4(sqrt(49)+3)
Next, we can calculate the square root.
Because we know that 7^2=49, we know that sqrt(49)=7.
4(sqrt(49)+3) calculate root ⟶ 4(7+3)
Now we can finish evaluating our expression. Remember, we need to fully simplify the expression inside the parentheses before we can do anything with the values found outside of them. Therefore, we will add the terms inside the parentheses before we multiply by the 4.
