Solve the following mathematical problems: 11) 3.925², 13) 2.895⁴, 15) √83.64, 17) 2.96² × 8.542, 19) ³√3.172 × 19.86, 20) √56.3 × 39.5 × 8.64, 21) 2.973³

Let's solve problem 11 from the image. Problem 11: Calculate 3.925². Step 1: Square the given number. 3.925² = 3.925 × 3.925 = 15.405625 Step 2: Perform a rough check by rounding the number. Round 3.925 to 4. 4² = 16 The calculated answer 15.405625 is close to the rough check value of 16, so the answer is reasonable. The final answer is 15.405625.

Solve the following mathematical problems: 11) 3.925², 13) 2.895⁴, 15) √83.64, 17) 2.96² × 8.542, 19) ³√3.172 × 19.86, 20) √56.3 × 39.5 × 8.64, 21) 2.973³

Let's solve problem 11 from the image. Problem 11: Calculate 3.925². Step 1: Square the given number. 3.925² = 3.925 × 3.925 = 15.405625 Step 2: Perform a rough check by rounding the number. Round 3.925 to 4. 4² = 16 The calculated answer 15.405625 is close to the rough check value of 16, so the answer is reasonable. The final answer is 15.405625.

Solved: Solve the following mathematical problems: 11)…

Let's solve from the image.

: Calculate $3.925^2$ .

Square the given number.
$3.925^2 = 3.925 \times 3.925 = 15.405625$
Perform a rough check by rounding the number.
Round 3.925 to 4.
$4^2 = 16$
The calculated answer 15.405625 is close to the rough check value of 16, so the answer is reasonable.

The final answer is $\boxed{15.405625}$ .

Solve the following mathematical problems: 11) 3.925², 13) 2.895⁴, 15) √83.64, 17) 2.96² × 8.542, 19) ³√3.172 × 19.86, 20) √56.3 × 39.5 × 8.64, 21) 2.973³

Step-by-step solution

Square the given number.

Perform a rough check by rounding the number.

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