Rajasthan BoardEnglish MediumSTD 9MATHSNumber systems1 Mark
Question
An irrational number between s and 6 is:
✓
Answer
$\sqrt{5\times6}$ Solution:
We know that, If a and b are two distinct positive rational numbers such that ab is not a perfect square of a rational number, Then $\sqrt{\text{ab}}$ is an irrational number lying between a and b,
Here also we have 5 and 6 two distinct rational numbers and 5 × 6 = 30 is not a perfect square,
So irrational number betweens and 6 $=\sqrt{5\times6}$
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