1. Your manager asks you to get the details on a computer crash.
What windows Administration Tool could you use?
a. Performance Monitor
b. Event Viewer
c. Log Viewer
d. System information
e. Windows memory Diagnostics
2. What is the following \sqrt(30)*\sqrt(10)
The correct answer and explanation is:
Question 1:
What Windows Administration Tool could you use to get the details on a computer crash?
Answer:
b. Event Viewer
Explanation:
The Event Viewer is a Windows administration tool used to view detailed logs about events and errors occurring on a computer. It provides information about application crashes, system errors, security issues, and other events. When a crash happens, the Event Viewer records it as a system log entry, including details such as the time, source of the crash, event ID, and description of the issue. Administrators can analyze these logs to troubleshoot the cause of the crash, identify patterns, and resolve system issues effectively.
Question 2:
What is 30×10\sqrt{30} \times \sqrt{10}?
Answer: 30×10=300=103\sqrt{30} \times \sqrt{10} = \sqrt{300} = 10\sqrt{3}
Explanation:
The mathematical rule for multiplying square roots is: a×b=a×b\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}
- Start with the given problem: 30×10\sqrt{30} \times \sqrt{10}
- Multiply the numbers inside the square roots: 30×10=300\sqrt{30 \times 10} = \sqrt{300}
- Simplify 300\sqrt{300} by factoring it into prime numbers: 300=22×3×52300 = 2^2 \times 3 \times 5^2
- Take the square root of perfect squares (222^2 and 525^2): 300=(22×52)×3=103\sqrt{300} = \sqrt{(2^2 \times 5^2) \times 3} = 10\sqrt{3}
Why This Matters:
The final result, 10310\sqrt{3}, represents the simplified form of the expression. Breaking down square root problems is an essential skill in algebra and is widely used in fields like engineering, physics, and computer science. It teaches students how to handle non-integer results systematically, helping them develop strong problem-solving abilities.
In conclusion, 30×10=103\sqrt{30} \times \sqrt{10} = 10\sqrt{3}. This result shows how square root operations can be simplified using multiplication rules and factorization.