The least rationalising factor of nbsp- 5-x- is -5 -x-5-x-x-

The correct option is D √(x) We know that (5 √(x)) ×√(x) = 5x which is a rational number. Also, (5 √(x)) (5 √(x)) = 25x which is a rational number. nbsp;√(x ...

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

Byju's Answer

Standard IX

Mathematics

Rationalisation of Surds

The least rat...

Question

The least rationalising factor of 5 $\sqrt{x}$ is ______.

$5$

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

$5 \sqrt{x}$

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

$\sqrt{x}$

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

$x$

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

Open in App

Solution

The correct option is C
$\sqrt{x}$

We know that $(5 \sqrt{x}) \times \sqrt{x} = 5 x$ which is a rational number.

Also, $(5 \sqrt{x}) (5 \sqrt{x}) = 25 x$ which is a rational number.

$\sqrt{x}$ is the least rationalising factor.

Suggest Corrections

Similar questions

The simplest rationalising factor of $\sqrt{3} + \sqrt{5}$ is

The simplest rationalising factor of $2 \sqrt{5} - \sqrt{3}$ is

The least rationalising factor of 5 $\sqrt{x}$ is ______.

Q. The rationalising factor of

\sqrt[7]{x^{3} y^{5} z^{2}}

is _________.

Q. If in

\sqrt{3} + \sqrt[3]{5}

, x =

\sqrt{3}

and y =

\sqrt[3]{5}

, then its rationalising factor is :

Join BYJU'S Learning Program

The least rationalising factor of 5√x is ______.

The correct option is C √x We know that (5√x)×√x=5x which is a rational number. Also, (5√x)(5√x)=25x which is a rational number. √x is the least rationalising factor.

The least rationalising factor of 5 $\sqrt{x}$ is ______.

The correct option is C
$\sqrt{x}$

We know that $(5 \sqrt{x}) \times \sqrt{x} = 5 x$ which is a rational number.

Also, $(5 \sqrt{x}) (5 \sqrt{x}) = 25 x$ which is a rational number.

$\sqrt{x}$ is the least rationalising factor.