Question

Cube root of 0.0072×81.3^2÷square root of 23140

Answer 1

To solve the expression \( \sqrt[3]{\frac{0.0072 \times 81.3^2}{\sqrt{23140}}} \), we need to perform it step by step.

1. Calculate \( 81.3^2 \):
\[
81.3^2 = 6616.89
\]

2. Now calculate \( 0.0072 \times 6616.89 \):
\[
0.0072 \times 6616.89 \approx 47.7404
\]

3. Next, calculate \( \sqrt{23140} \):
\[
\sqrt{23140} \approx 152.67 \quad (\text{using a calculator})
\]

4. Now, divide the result from step 2 by the result from step 3:
\[
\frac{47.7404}{152.67} \approx 0.3127
\]

5. Finally, calculate the cube root:
\[
\sqrt[3]{0.3127} \approx 0.681
\]

So, the final answer is approximately:
\[
\sqrt[3]{\frac{0.0072 \times 81.3^2}{\sqrt{23140}}} \approx 0.681
\]