Step 4 contains the error while solving the expression √√36. Option D is the right choice.
The expression √√36 involves a double square root.
When we solve we get
√√36 = √6
Let's analyze each step:
Step 1. √√36: This step is correct. It represents the double square root of 36.
Step 2. √(√36): This step is also correct. It simplifies the double square root by taking the square root of 36, which is 6. So, √(√36) = √6.
Step 3. √6: This step is also correct. Simplifying the square root of 6 further is unnecessary and inaccurate. 6 is already the simplified form of the double square root of 36. Therefore, √6 is the final answer.
Step 4. 6/√2: Dividing 6 by √2 further complicates the expression and deviates from the correct simplification process. This step is the first error.
Error is in step 4.
So, Option D is the right choice.
Question:-
In simplifying the expression √√36, which step, if any, contains the error?
Step 1. √√36
Step 2. √(√36) (Circle this step if you believe the error is here)
Step 3. √6 (Circle this step if you believe the error is here)
Step 4. 6/√2 (Circle this step if you believe the error is here)
Options:
A. The student simplified the expression correctly. (Circle this option if you believe there's no error)
B. The student first went wrong in step 1.
C. The student first went wrong in step 2.
D. The student first went wrong in step 4.