Question

10.Which one of the following is not a rational number?

(1 Point)

√16

√25

√6

0

​

Answer 1

Solution :

$\boldsymbol{›› \: \sqrt{16} = \sqrt{2 \times 2 \times 2 \times 2} } \\ \\ \boldsymbol{›› \: \sqrt{16} = 2 \times 2 } \\ \\ \boldsymbol{›› \: \sqrt{16} = 4 }$

So,

√16 is a rational number because √16 can be represented in the form of p/q.

$\boldsymbol{›› \: \sqrt{25} = \sqrt{5 \times 5} } \\ \\ \boldsymbol{›› \: \sqrt{25} = 5 }$

So, √25 is also a rational number

$\boldsymbol{›› \: \sqrt{6} = \sqrt{2 \times 3} }$

Hence,

• √6 is not a rational number because we can't represent √6 in the form of p/q.

0 is also a Rational number because we can represent 0 in the form of p/q like 0/1 , 0/2 ...etc

• $\boldsymbol{\: Option\:C)\: is \: correct√}$

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