Solve (√380.25 - ½)² - 11: Complete Square Root Expression

Question

(380.25−12)2−11= (\sqrt{380.25}-\frac{1}{2})^2-11=

Video Solution

Solution Steps

00:00 Solve
00:03 Calculate the root
00:12 Always calculate parentheses first
00:19 Calculate the exponent
00:24 And this is the solution to the question

Step-by-Step Solution

According to the order of operations, we should first solve the expression inside of the parentheses:

(380.25−12)=(19.5−12)=(19) (\sqrt{380.25}-\frac{1}{2})=(19.5-\frac{1}{2})=(19)

In the next step, we will proceed to solve the exponentiation, and finally the subtraction:

(19)2−11=(19×19)−11=361−11=350 (19)^2-11=(19\times19)-11=361-11=350

Answer

350

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Square Roots: Solving the problem Powers and Roots: Solving the problem