Question

Which of the following is rational number
$1) \: (3 + \sqrt{5) }$
$2) \: ( - 1 + \sqrt{3)}$
$3) \: 5 \sqrt{16}$
$4) \: - \sqrt{7}$
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Answer 1

Answer:

The answer is 5√16.

Because √16=4.

Then, 5×4=20.

20 is a rational number.

Answer 2

$\huge\mathscr{\underline{\underline{Answer:-}}}$

Option $3) \: 5 \sqrt{16}$

$\huge\mathscr{\underline{\underline{Explanation:-}}}$

We know,

√16 = √(4)²

= 4

Then,

5√16 = 5 × 4

= 20

•°• It is a rational number.

NOTE : You can try solving other equations too, but you won't get any rational number as the result except for option 3.