$=\sqrt{1.4-0.0204} \times 20$
Answer (2)
Calculate the value inside the square root: 1.4 − 0.0204 = 1.3796 .
Take the square root of the result: 1.3796 ≈ 1.1746 .
Multiply the square root by 20: 1.1746 × 20 ≈ 23.491 .
The final answer is 23.491 .
Explanation
Understanding the Expression We are asked to evaluate the expression 1.4 − 0.0204 \t \t × 20 .
Calculating Inside the Square Root First, we need to calculate the value inside the square root: 1.4 − 0.0204 = 1.3796
Taking the Square Root Next, we take the square root of the result from the previous step: 1.3796 = 1.174563748802082
Multiplying by 20 Finally, we multiply the square root by 20 to obtain the final answer: 1.174563748802082 × 20 = 23.49127497604164 Therefore, the value of the expression is approximately 23.491.
Examples
This type of calculation is useful in physics when calculating the velocity of an object. For example, if you have an equation that involves a square root and multiplication, you would follow these steps to find the final velocity.
The expression 1.4 − 0.0204 × 20 evaluates to approximately 23.491 after calculating the value inside the square root, taking its square root, and multiplying by 20.
;
