An irrational number between s and 6 is: - Vidyadip

MCQ

An irrational number between $s$ and $6$ is:

✓
$\sqrt{5\times6}$
B
$\sqrt{5+6}$
C
$\sqrt{5-6}$
D
None of these.

✓

Answer

Correct option: A.

$\sqrt{5\times6}$

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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