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Let's try to find a rotiano approximation for
sqrt()2. E.
Square Root of 2

{:[sqrt2×sqrt2=2],[n × n~~2]:}

Let's try to find a rotiano approximation for $\sqrt{ } 2$ . E. $\newline$ Square Root of $2$ $\newline$ $\begin{aligned} \sqrt{2} \times \sqrt{2} & =2 \\ n \times n & \approx 2 \end{aligned}$

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Find derivatives of sine and cosine functions

Full solution

Q. Let's try to find a rotiano approximation for

\sqrt{ } 2

. E.

\newline

Square Root of

2

\newline

\begin{aligned} \sqrt{2} \times \sqrt{2} & =2 \\ n \times n & \approx 2 \end{aligned}

Understand the problem: Step $1$ : Understand the problem. $\newline$ We need to find a simple fraction that is close to the square root of $2$ .
Use known fraction approximation: Step $2$ : Use a known fraction approximation. $\newline$ A commonly used rational approximation for $\sqrt{2}$ is $1.41$ , but let's use fractions. We know that $\frac{141}{100}$ is close but let's simplify it.
Simplify the fraction: Step $3$ : Simplify the fraction. $\newline$ Since $141$ and $100$ have no common factors other than $1$ , we can't simplify $\frac{141}{100}$ . However, for easier calculations, let's use $\frac{14}{10}$ , which simplifies to $\frac{7}{5}$ .

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