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Approximating Irrational Numbers - Tutorial - Part 1 - Level H
et's try to find a rational approximation for
sqrt2.
hich interval on this number line contains
sqrt2 ? Click on the line cement betwcen the whole numbers to submit your answer.

Approximating Irrational Numbers - Tutorial - Part $1$ - Level H $\newline$ et's try to find a rational approximation for $\sqrt{2}$ . $\newline$ hich interval on this number line contains $\sqrt{2}$ ? Click on the line cement betwcen the whole numbers to submit your answer.

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Find indefinite integrals using the substitution and by parts

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Q. Approximating Irrational Numbers - Tutorial - Part

1

- Level H

\newline

et's try to find a rational approximation for

\sqrt{2}

.

\newline

hich interval on this number line contains

\sqrt{2}

? Click on the line cement betwcen the whole numbers to submit your answer.

Understand $\sqrt{2}$ : Let's start by understanding what $\sqrt{2}$ means. It's the square root of $2$ , which is an irrational number. We need to find a rational approximation for it.
Approximate $\sqrt{2}$ : We know that $\sqrt{2}$ is approximately $1.414$ . To find which interval contains $\sqrt{2}$ , we consider the whole numbers around it.
Identify interval: Since $1.414$ is more than $1$ but less than $2$ , $\sqrt{2}$ is between $1$ and $2$ on the number line.
Submit answer: To submit the answer, click on the line segment between the whole numbers $1$ and $2$ . This is where $\sqrt{2}$ falls.

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