Chapter 1 | Real Numbers | National Book Foundation Welcome to Chapter 1 – Real Numbers (Class 9 Mathematics | NBF), your dedicated platform for mastering the fundamentals of real numbers through carefully designed, exam-focused MCQs. Welcome to your Chapter 1 | Real Numbers May 9, 2026 13 Name School The radical form of $x^{-\frac{3}{2}}$ is: $\sqrt[3]{\frac{1}{x^2}}$ $\dfrac{1}{\sqrt[3]{x^2}}$ $\dfrac{1}{\sqrt{x^3}}$ $\sqrt{x^3}$ None If $a > 0$, then $\sqrt{a}$ is irrational rational real integer None $a^{r-s} \div a^{s}$ is $a^{r-s}$ $a^{r+2s}$ $a^{r} \cdot a^{2s}$ $\dfrac{a^{r}}{a^{2s}}$ None Additive inverse of $\sqrt{5}$ is: $5$ $-\sqrt{5}$ $-5$ $\dfrac{1}{\sqrt{5}}$ None If $a \cdot b = 1$, what is $b$ called? self-multiplicative inverse additive identity multiplicative identity multiplicative inverse of $a$ None Which number is self-multiplicative inverse? $0$ $-3$ $3$ $-1$ None Given number $\sqrt{10}\cdot\sqrt{10}$ is: Irrational Complex Real Imaginary None $a(b + c - d)$ equals $a(b + c + d)$ $ab - ac - ad$ $ab + ac + ad$ $ac + ab - ad$ None Commutative property does not hold with respect to: both (a) and (b) subtraction addition multiplication None According to reflexive property: $y^2 - 17 = ?$ $y^2 - 17$ $y^2 + 17$ $-17 - y^2$ $y - 17$ None If $n = 8$ and $16 \times 2^{m} = 4^{\,n-8}$ then value of $m$ is: $-4$ $0$ $8$ $-2$ None If $a + b = a$, what is value of $b$? $0$ $a$ $-1$ $1$ None $\sqrt[n]{ab}$ is equal to $\sqrt{ab}$ $(ab)^n$ $n(ab)$ $(ab)^{\frac{1}{n}}$ None 1 out of 13 Time's up