Question Text
Question 4 :
What is the 25th digit to the right of the decimal pointin the decimal form of $\displaystyle\frac { 6 }{ 11 }$?
Question 12 :
Solve the following using Product Law of Exponents<br/>${ a\times { a }^{ -4 }\times  }{ a }^{ -5 }$<br/>
Question 13 :
The pair of irrational numbers whose product is rational are $\displaystyle 2\sqrt{3}-3\sqrt{2}$ and $\displaystyle 2\sqrt{3}+4\sqrt{2}$ <br/><br/>
Question 14 :
The product of a non - zero rational number with an irrational number is always :<br>
Question 18 :
If $x = 7 + 4\sqrt{3}$, then the value of $\sqrt{x} + \cfrac{1}{\sqrt{x}}$ is:<br/>
Question 22 :
Simplify the square root of the polynomial using factorisation method: $\dfrac{a^2}{a^2-b^2}+\dfrac{b^2}{b^2-a^2}$<br/>
Question 24 :
Find the square root of the following polynomial by division method: $9x^4-6x^3+7x^2-2x+1$
Question 26 :
Find the value of: $\left [\dfrac {1}{5^{-2}} + \dfrac {1}{3^{-3}} + \dfrac {1}{2^{-4}}\right ]$
Question 28 :
The fraction $\displaystyle \frac{2(\sqrt{2} + \sqrt{6})}{3 (\sqrt{2+ \sqrt{3}})}$ is equal to _________
Question 29 :
A computer is programmed to add $3$ to the number $N$, multiply the result by $3$, subtract $3$, and divide this result by $3$. The computer answer will be
