(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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Mix Examples - Number Systems

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

Easy

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Find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$.

Medium

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Insert a rational number and an irrational number between $2$ and $3$.

Easy

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State whether the following statement is true:
There is a number $x$ such that $x^{2}$ is irrational but $x^{4}$ is rational. Justify your answer by an example.

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Simplify: $2^{-3} + (0.01)^{-\frac{1}{2}} - (27)^{\frac{2}{3}}$ (in $.125$)

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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

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

Find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$.

Insert a rational number and an irrational number between $2$ and $3$.

State whether the following statement is true:There is a number $x$ such that $x^{2}$ is irrational but $x^{4}$ is rational. Justify your answer by an example.

Simplify: $2^{-3} + (0.01)^{-\frac{1}{2}} - (27)^{\frac{2}{3}}$ (in $.125$)

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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:
$\frac{4}{\sqrt{3}}$

State whether the following statement is true:
There is a number $x$ such that $x^{2}$ is irrational but $x^{4}$ is rational. Justify your answer by an example.