Jamelia estimates the square root of 72 in the following way: √72=2√36= 2*6=12 Explain why her reasoning is incorrect. Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
Accepted Solution
A:
We are going to review the following procedure: √72 = 2√36 = 2 * 6 = 12 The next step is incorrect: √72 = 2√36 The correct step is: √72 = √2 * (36). Let's now calculate √72. We have the following steps: Step 1: √72 = √ (2 * (36)) Step 2: √72 = √ (2 * (6) ^ 2) Step 3: √72 = 6√2 Step 4: √72 = 6 * 1.41 Step 5: √72 = 8.46 Step 6: √72 = 8.5 Answer: √72 = 8.5