Evaluate 22.5^1/3 × 33.5/5√0.00523

Answer 1

To evaluate this expression, we will simplify it step by step.

First, let's simplify 22.5^(1/3). This means taking the cube root of 22.5.

The cube root of 22.5 is approximately 2.84387.

Next, let's simplify 33.5/(5√0.00523).

The square root of 0.00523 is approximately 0.07225216.

Then, multiplying 5 by √0.00523 gives us 5 * 0.07225216 = 0.3612608.

Finally, dividing 33.5 by 0.3612608 gives us approximately 92.732926.

So, 22.5^(1/3) × 33.5/(5√0.00523) is approximately:

2.84387 * 92.732926 ≈ 263.35537