A rational number between -2 and -3 is -

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Standard XII

Mathematics

Logarithmic Inequalities

A rational nu...

Question

A rational number between $\sqrt{2}$ and $\sqrt{3}$ is :

\frac{3}{2}

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\frac{2}{3}

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1

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5

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Solution

The correct option is A $\frac{3}{2}$
By converting the given irrational number into their approximate decimal, we get,
$\sqrt{2} = 1.4142... \sqrt{3} = 1.7320...$
The only option which lies between these two number is $\frac{3}{2}$ .
So, correct answer is option $A$ .

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Similar questions

(i). Five rational numbers between

2

and

1

are

(ii). Four rational numbers between $\frac{2}{3}$ and $\frac{3}{5}$ are

(a) Find ten rational number between - $\frac{2}{5}$ and $\frac{1}{2}$ .

(b) Insert 5 rational numbers and 2 irrational numbers between $\sqrt{2}$ and $\sqrt{3}$ .

[4 MARKS]

Q. List five rational numbers in between:
1. -1 and 0
2. -2 and -1
3. -4/5 and -2/3
4. 1/2 and 2/3

Q. Find 5 rational numbers between

- \frac{1}{3}

and

\frac{1}{2}

Two rational numbers between $\frac{2}{3}$ and $\frac{5}{3}$ are

(a) $\frac{1}{6}$ and $\frac{2}{6}$
(b) $\frac{1}{2}$ and $\frac{2}{1}$
(c) $\frac{5}{6}$ and $\frac{7}{6}$
(d) $\frac{2}{3}$ and $\frac{4}{3}$

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A rational number between √2 and √3 is :

The correct option is A 32By converting the given irrational number into their approximate decimal, we get,√2=1.4142...√3=1.7320...The only option which lies between these two number is 32.So, correct answer is option A.

A rational number between $\sqrt{2}$ and $\sqrt{3}$ is :

The correct option is A $\frac{3}{2}$
By converting the given irrational number into their approximate decimal, we get,
$\sqrt{2} = 1.4142... \sqrt{3} = 1.7320...$
The only option which lies between these two number is $\frac{3}{2}$ .
So, correct answer is option $A$ .