The least rationalising factor of 5 - x isA- XB- 5 C- 5 -XD- - 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 ...

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Standard IX

Mathematics

Surds

The least rat...

Question

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

$5$

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$5 \sqrt{x}$

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$\sqrt{x}$

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$x$

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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.

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Similar questions

Q. The rationalising factor of

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

is _________.

Q. The simplest rationalising factor of

2 \sqrt{5}

−

\sqrt{3}

is

(a)

2 \sqrt{5} + 3

(b)

2 \sqrt{5} + \sqrt{3}

(c)

\sqrt{5} + \sqrt{3}

(d)

\sqrt{5} - \sqrt{3}

Q. The simplest rationalising factor of

\sqrt{3} + \sqrt{5}

is

(a)

\sqrt{3} - 5

(b)

3 - \sqrt{5}

(c)

\sqrt{3} - \sqrt{5}

(d)

\sqrt{3} + \sqrt{5}

Q. The rationalisation factor of

\frac{1}{2 \sqrt{3} - \sqrt{5}}

is
(a)

\sqrt{5} - 2 \sqrt{3}

(b)

\sqrt{3} + 2 \sqrt{5}

(c)

(\sqrt{3} + \sqrt{5})

(d)

\sqrt{12} + \sqrt{5}

Choose the correct option:

If a straight-line pass through (0, 0) and (1, 5), then its equation is ______________.

A. y = x

B. y = 5x

C. 5y = x

D. y = x + 5

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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.