Question

Evaluate the following: (1)√0.897×3.536 /0.00249 (2)√0.006942 ×3√0.6418/0.0025473 (3) (16.74)^3 × 4√0.67416 /13.25×√22.41 (4)1+3√0.0069/1-3√0.0069 (5)3√0.2569^3×√25.69/√0.007432​

Answer 1

1. The final answer for the expression
`\(√(0.897) * 3.536 / 0.00249\)`is approximately (176.24).

2. The final answer for the expression
`\(√(0.006942) * 3√(0.6418) / 0.0025473\)` is approximately (27.45).

3. The final answer for the expression
`\( (16.74)^3 * 4√(0.67416) / 13.25 * √(22.41)\)` is approximately (63.21).

4. The final answer for the expression
`\(1 + 3√(0.0069) / 1 - 3√(0.0069)\)` is approximately (1.00).

5. The final answer for the expression
`\(3√(0.2569^3) * √(25.69) / √(0.007432)\)`is approximately (526.47).

Step-by-step explanation:

For the first expression,
`\(√(0.897) * 3.536 / 0.00249\)`, the result is obtained by evaluating the expression step by step. First, take the square root of 0.897, then multiply by 3.536, and finally, divide by 0.00249.

In the second expression,
`\(√(0.006942) * 3√(0.6418) / 0.0025473\)`, similar step-by-step calculations are performed, involving square roots and multiplication.

For the third expression,
`\( (16.74)^3 * 4√(0.67416) / 13.25 * √(22.41)\)`, the result is determined by raising 16.74 to the power of 3, multiplying by 4 times the square root of 0.67416, and then dividing by the product of 13.25 and the square root of 22.41.

The fourth and fifth expressions are also evaluated in a similar manner, with careful attention to the order of operations. The answers provide the numerical results for each mathematical expression.