Question

solve

pi(3.14)^2
square root of 180
^3square root of 38

Answer 1

Let's solve each of the expressions one by one.

1. **\( \pi(3.14)^2 \)**:
\[
\pi \approx 3.14 \quad (\text{using the approximation of } \pi)
\]
\[
\pi(3.14)^2 \approx 3.14 \times (3.14)^2 \approx 3.14 \times 9.8596 \approx 30.96
\]

So, \( \pi(3.14)^2 \approx 30.96 \).

2. **Square root of 180**:
\[
\sqrt{180} = \sqrt{36 \cdot 5} = \sqrt{36} \cdot \sqrt{5} = 6\sqrt{5}
\]
\[
\text{Approximate numeric value: } 6 \times 2.236 \approx 13.416
\]

So, \( \sqrt{180} \approx 13.416 \).

3. **Cube root of 38**:
\[
\sqrt[3]{38} \approx 3.36 \quad (\text{using a calculator for more accuracy})
\]

So, the final results are:
1. \( \pi(3.14)^2 \approx 30.96 \)
2. \( \sqrt{180} \approx 13.416 \)
3. \( \sqrt[3]{38} \approx 3.36 \)