Mahabir Singh Solutions for Chapter: Real Numbers, Exercise 1: MATHEMATICAL REASONING

The descending order of the surds $\sqrt[3]{2}, \sqrt[6]{3}, \sqrt[9]{4}$ is 

The product of two consecutive natural number is always

The value of $\frac{1}{1+\sqrt{2}}+\frac{1}{(\sqrt{2}+\sqrt{3})}+\frac{1}{(\sqrt{3}+\sqrt{4})}+\frac{1}{(\sqrt{4}+\sqrt{5})}+\frac{1}{(\sqrt{5}+\sqrt{6})}+\frac{1}{(\sqrt{6}+\sqrt{7})}+\frac{1}{(\sqrt{7}+\sqrt{8})}+\frac{1}{(\sqrt{8}+\sqrt{9})}$ is

The ${100}^{\mathrm{th}}$ root of ${10}^{\left({10}^{10}\right)}$

The value of $\frac{a+\sqrt{a^2-b^2}}{a-\sqrt{a^2-b^2}}+\frac{a-\sqrt{a^2-b^2}}{a+\sqrt{a^2-b^2}}$ is

The rationalising factor of  $\sqrt[7]{x^3{y}^5{z}^2}$ is

Which of the following is an irrational numbers.

According to the fundamental theorem of arithmetic, if $p$ (a prime number) divides $b^2$ and $b$ is positive, then