The correct option is D irrational number√(3) cannot be expressed in the form of p/q where p and q are integers and q≠0. Hence, it is an irrational number ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Operations on Monomial Surds

√3 is a/an

Question

$\sqrt{3}$ is a/an

natural number

No worries! We‘ve got your back. Try BYJU‘S free classes today!

whole number

No worries! We‘ve got your back. Try BYJU‘S free classes today!

rational number

No worries! We‘ve got your back. Try BYJU‘S free classes today!

irrational number

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D irrational number
$\sqrt{3}$ cannot be expressed in the form of $\frac{p}{q}$ where p and q are integers and $q \neq 0$ . Hence, it is an irrational number

Suggest Corrections

Similar questions

2 \sqrt{3} \times 3 \sqrt{2}

is a/an ________.

Q. The number

(3 - \sqrt{3}) (3 + \sqrt{3})

is a/an .........

Q. Fill in the blanks to complete the proof of

1 + 7 \sqrt{3}

as an irrational number, provided

\sqrt{3}

is an irrational number.

Let’s assume

1 + 7 \sqrt{3}

be a rational number

\Rightarrow 1 + 7 \sqrt{3} = \frac{a}{b}, b \neq 0

\Rightarrow \sqrt{3} =

(i)___________ which is a (ii)_________ number.

\Rightarrow \sqrt{3}

is a rational number.
But

\sqrt{3}

is a/an irrational number.
Hence, we have arrived at a contradiction.

∵ 1 + 7 \sqrt{3}

is an irrational number.

\frac{\sqrt{3} + 2}{7}

is a/an

\sqrt{3}

is a/an _______ number.

Join BYJU'S Learning Program

√3 is a/an

The correct option is D irrational number√3 cannot be expressed in the form of pq where p and q are integers and q≠0. Hence, it is an irrational number

$\sqrt{3}$ is a/an

The correct option is D irrational number
$\sqrt{3}$ cannot be expressed in the form of $\frac{p}{q}$ where p and q are integers and $q \neq 0$ . Hence, it is an irrational number