At first glance, this puzzle looks complicated, but if you follow the order of operations carefully, the answer becomes surprisingly simple.

The Puzzle

$$(400 – \sqrt{400}) \div \sqrt{100}$$(400−400​)÷100​

Step 1: Calculate the Square Roots

$$\sqrt{400} = 20$$400​=20 $$\sqrt{100} = 10$$100​=10

Now substitute these values into the expression:$$(400 – 20) \div 10$$(400−20)÷10

Step 2: Solve the Parentheses

$$400 – 20 = 380$$400−20=380

The expression becomes:$$380 \div 10$$380÷10

Step 3: Perform the Division

$$380 \div 10 = 38$$380÷10=38

✅ Final Answer: 38

Why Do People Get It Wrong?

Many people rush through the square roots or make a calculation error inside the parentheses. The key is to solve the square roots first, then complete the subtraction, and finally perform the division.

🎯 Conclusion

$$(400 – \sqrt{400}) \div \sqrt{100} = 38$$(400−400​)÷100​=38

Answer: 38 ✔️