Subjects
Maths CBSE Homework Assignments
Class 9
Number System
Case based questions II

3. CBQ on representing irrational number on number line

Question:

4 m.

Using right- angle triangle, Students are asked to represent

\sqrt{2}

,

\sqrt{3}

and

\sqrt{5}

on the number line.

1. To represent

\sqrt{2}

, we use a right-angled triangle with sides:

\(1\) and \(1\)
\(2\) and \(2\)
\(1\) and \(2\)
$1 and \sqrt{3}$

2. To represent

\sqrt{5}

, we use a right-angled triangle with sides:

\(2\) and \(2\)
\(1\) and \(4\)
\(2\) and \(1\)
\(1\) and \(2\)

3. Are these numbers rational or irrational?

irrational
both
cannot be determined
rational

4. After representing

\sqrt{2}

, what is the next irrational number that can be easily represented using

\sqrt{2}

?

$\sqrt{3}$
$\sqrt{4}$
$\sqrt{5}$
$\sqrt{6}$

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