Question Text
Question 1 :
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
Question 2 :
What is the value of $a$ and $b$, if $\sqrt{25x^2+50x^3+35x^2+ax+b}$ is a perfect square?<br/>
Question 4 :
If $a = \displaystyle \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $b  = \displaystyle \frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, find the value $a^2+b^2-5ab$.
Question 5 :
The fraction $\displaystyle \frac{2(\sqrt{2} + \sqrt{6})}{3 (\sqrt{2+ \sqrt{3}})}$ is equal to _________
Question 9 :
State whether the following statement is True or False<br>The conjugate of $x\sqrt {a} + y\sqrt {b}$ is $x\sqrt {a} - y\sqrt {b}$
Question 10 :
If $\cfrac { \sqrt { 7 } -1 }{ \sqrt { 7 } +1 } -\cfrac { \sqrt { 7 } +1 }{ \sqrt { 7 } -1 } =a+b\sqrt { 7 } $, then find the values of $a$ and $b$
Question 11 :
The conjugate of the binomial surd $\dfrac {1}{2}x + \dfrac {1}{2}\sqrt {y}$ is?
Question 13 :
State whether the following statement is True or False<br>The conjugate of $\sqrt {3} + \sqrt {2}$ is $\sqrt {2} - \sqrt {3}$
Question 15 :
Find the square root of $x^{4} - 2x^{3} + 3x^{2} - 2x + 1$ using the division method