Evaluate 5√2
Understand the Problem
The question presents a mathematical expression, specifically 5√2, which represents 5 times the square root of 2. It is likely asking for either the numerical approximation of this value or for some operation to be performed using this value. Without additional context, the most straightforward interpretation is to provide the decimal approximation.
Answer
$5\sqrt{2} \approx 7.07$
Answer for screen readers
$5\sqrt{2} \approx 7.07$
Steps to Solve
- Identify the expression
The given expression is $5\sqrt{2}$.
- Approximate the square root of 2
We know that the square root of 2 is approximately 1.414. $$ \sqrt{2} \approx 1.414 $$
- Multiply by 5
Multiply the approximation of $\sqrt{2}$ by 5. $$ 5 \times \sqrt{2} \approx 5 \times 1.414 $$
- Calculate the result
$$ 5 \times 1.414 = 7.070 $$
Therefore, $5\sqrt{2} \approx 7.07$.
$5\sqrt{2} \approx 7.07$
More Information
The value of $5\sqrt{2}$ is an irrational number. The decimal representation is non-terminating and non-repeating. We have provided an approximation rounded to two decimal places.
Tips
A common mistake is to incorrectly approximate the square root of 2 or make a multiplication error. Using a calculator minimizes these errors. Another mistake might be rounding too early, which affects the final answer's accuracy.
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