Find three different irrational numbers between the rational numb… - Vidyadip

Question

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}.$

✓

Answer

As, $\frac{5}{7}\approx0.714$ and $\frac{9}{11}\approx0.818$
So, the three different irrational numbers are: 0.72020020002..., 0.7515511555111... and 0.808008000...
Disclaimer: There are an infinite number of irrational numbers between two rational numbers.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Presentation of Data in Tabular Form→Presentation of Data in Tabular Form — all question types→MATHS STD 9 question papers→Rajasthan Board STD 9 question papers→Rajasthan Board question paper generator→

Similar questions

Find the volume of the right circular cone with the following dimensions:
Radius is 3.5cm, height is 12cm.

Find four rational numbers lying between $\frac{3}{7}$ and $\frac{5}{7}.$

Verify $x = 0$ are zeroes of the polynomial $p\left( x \right) = {x^2}$

Factorize the following expressions:$ (a - 2b)^3 - 512b^3$

The mean weight of $25$ students of a class is $52\ kg.$ If the mean weight of the first $13$ students of the class is $48\ kg$ and that of the last $13$ students is $55\ kg,$ find the weight of the $13^{th}$ student.

Can a triangle have:
Two acute angles?
Justify your answer in case.

The angles of a quadrilateral are in the ratio $2 : 4 : 5 : 7.$ Find the angles.

Find the following products:
$\Big(\frac{3}{\text{x}}-2\text{x}^2\Big)\Big(\frac{9}{\text{x}^2}+4\text{x}^2-6\text{x}\Big)$

If $\text{x}=\text{a}^{\text{m}+\text{n}},\ \text{y}=\text{a}^{\text{n}+\text{l}}$ and $\text{z}=\text{a}^{\text{l}+\text{m}},$ prove that $\text{x}^\text{m}\text{y}^\text{n}\text{z}^\text{l}=\text{x}^\text{n}\text{y}^\text{l}\text{z}^\text{m}.$

Factorise:$ab(x^2 + y^2) - xy(a^2 + b^2)$