(B) To rationalise the denominator,multiply the numerator and the denominator by $\sqrt{3}$:$\frac{4}{\sqrt{3}} = \frac{4}{\sqrt{3}} \times \frac{\sqr

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(B) To rationalise the denominator,multiply the numerator and the denominator by $\sqrt{3}$:$\frac{4}{\sqrt{3}} = \frac{4}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$$= \frac{4\sqrt{3}}{3}$Substitute the value $\sqrt{3} = 1.732$:$= \frac{4 \times 1.732}{3}$$= \frac{6.928}{3}$$= 2.309$

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Medium

Rationalise the denominator of the following expression and evaluate it by taking $\sqrt{3} = 1.732$,up to three decimal places:
$\frac{4}{\sqrt{3}}$

A
$3.309$
B
$2.309$
C
$6.908$
D
$9.928$

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Class 9

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Number Systems

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Mix Examples - Number Systems

Find the value of $64^{\frac{2}{3}}$.

Easy

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Find three rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$.

Easy

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For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

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Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2$

Medium

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Rationalise the denominator of the following:
$\frac{3 \sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$

Difficult

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Rationalise the denominator of the following expression and evaluate it by taking $\sqrt{3} = 1.732$,up to three decimal places:$\frac{4}{\sqrt{3}}$

Similar Questions

Find the value of $64^{\frac{2}{3}}$.

Find three rational numbers between $\frac{1}{4}$ and $\frac{1}{5}$.

For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :$0.2$

Rationalise the denominator of the following:$\frac{3 \sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$

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Rationalise the denominator of the following expression and evaluate it by taking $\sqrt{3} = 1.732$,up to three decimal places:
$\frac{4}{\sqrt{3}}$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.2$

Rationalise the denominator of the following:
$\frac{3 \sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$