Questions: (4)(138.7 pm)/√2

Transcript text: $\frac{(4)(138.7 \mathrm{pm})}{\sqrt{2}}$

Solution

Step 1: Identify the given values and the formula

We are given the expression: \[ \frac{(4)(138.7 \, \text{pm})}{\sqrt{2}} \]

Step 2: Perform the multiplication in the numerator

First, multiply the constants in the numerator: \[ 4 \times 138.7 \, \text{pm} = 554.8 \, \text{pm} \]

Step 3: Simplify the expression

Next, divide the result by $\sqrt{2}$: \[ \frac{554.8 \, \text{pm}}{\sqrt{2}} \]

Step 4: Calculate the division

We know that $\sqrt{2} \approx 1.4142$. Therefore: \[ \frac{554.8}{1.4142} \approx 392.3 \, \text{pm} \]

\[ \boxed{392.3 \, \text{pm}} \]

Was this solution helpful?

Unhelpful

Helpful