To solve the expression \( \sqrt{0.543 - 0.4^2} \):

1. First, calculate \( 0.4^2 \):
   \[
   0.4^2 = 0.16
   \]

2. Now subtract \( 0.16 \) from \( 0.543 \):
   \[
   0.543 - 0.16 = 0.383
   \]

3. Finally, take the square root of \( 0.383 \):
   \[
   \sqrt{0.383} \approx 0.619
   \]

So, the result of the expression is approximately \( 0.619 \).

Would you like further details or have any questions?

Here are 5 related questions you might explore:
1. What is the square root of a negative number?
2. How do you simplify more complex square root expressions?
3. What is the decimal approximation of square roots like \( \sqrt{2} \)?
4. How does squaring a number affect its size?
5. What are some practical uses of square roots in physics?

**Tip:** When dealing with square roots, always check if the result can be simplified to an exact fraction for accuracy.

What is the square root of 0.543 - 0.4^2?

Learn how to calculate the square root of the expression 0.543 - 0.4^2 with a step-by-step solution. This problem covers important mathematical concepts like square roots, exponentiation, and subtraction. Suitable for students in Grades 6-8.

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