The fraction 2-3-4 is equivalent to-

The correct option is A √(3)/2 Since the denominator of the given fraction has no radical, #160;hence, there is no need to rationalize it.On reducing to ...

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Standard IX

Mathematics

Surds

The fraction ...

Question

The fraction $\frac{2 \sqrt{3}}{4}$ is equivalent to:

\frac{\sqrt{3}}{2}

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\frac{2}{4 \sqrt{3}}

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\frac{4}{8 \sqrt{3}}

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none of these

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Solution

The correct option is A $\frac{\sqrt{3}}{2}$
Since the denominator of the given fraction has no radical,
hence, there is no need to rationalize it.
On reducing to lowest terms, it is equivalent to $\Rightarrow \frac{2 \sqrt{3}}{4} = \frac{\sqrt{3}}{2}$ .
So, option $A$ is correct.

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Similar questions

Q. A fraction equivalent to

\frac{3}{5}

is
(a)

\frac{3 + 2}{5 + 2}

(b)

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

(c)

\frac{3 \times 2}{5 \times 2}

(d) none of these

If $y = \frac{(x^{2} + 2 x)}{(3 x - 4)}, t h e n \frac{d y}{d x} = ?$

$\int_{0}^{2} ([x]^{2} - [x^{2}]) d x$ is equal to

Q. Mark (✓) against the correct answer

If \frac{A}{2} = \frac{B}{3} = \frac{C}{4}

then A : B : C = ?
(a) 2 : 3 : 4
(b) 4 : 3 : 2
(c) 3 : 2 : 4
(d) none of these

Q. A certain fraction is equivalent to

\frac{1}{2}

. If

3

is added to its numerator and

2

is added to its denominator, the resulting fraction is equivalent to

\frac{3}{4}

. What is the numerator of the original fraction?

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The fraction 2√34 is equivalent to:

The correct option is A √32Since the denominator of the given fraction has no radical, hence, there is no need to rationalize it.On reducing to lowest terms, it is equivalent to ⇒2√34=√32.So, option A is correct.

The fraction $\frac{2 \sqrt{3}}{4}$ is equivalent to:

The correct option is A $\frac{\sqrt{3}}{2}$
Since the denominator of the given fraction has no radical,
hence, there is no need to rationalize it.
On reducing to lowest terms, it is equivalent to $\Rightarrow \frac{2 \sqrt{3}}{4} = \frac{\sqrt{3}}{2}$ .
So, option $A$ is correct.