Question

which of the following is an irrational number ? 1] root 49 2] root 9/root16 3] root 5 4] root 256

Answer 1

Answer:

root 5 is an irrational number

Answer 2

$\huge{\underline{\mathfrak{Solution :- }}}$

• Which of the following is an irrational number ?

Option 3) √5 is a irrational number.

★Step by Step Explanation :-

1) √49

• √49 = 7 and thus it is not a irrational number.

2) $\dfrac{\sqrt{9}}{\sqrt{16}}$

• $\dfrac{\sqrt{9}}{\sqrt{16}}$ = $\dfrac{3}{\sqrt{4}$ . Here , we have got a rational number and thus, it is not a irrational number.

3) √5

• √5 = 2.2360679 as the number we have is non - terminating and thus , it is a rational number.

4) √256

• √256 = 16 and thus it is not a irrational number.

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