Aptitude : : Square root and Cube root Questions & Answers
- If $ x= \dfrac{\sqrt{3}+1}{\sqrt{3}-1} \ $ and $ y =\dfrac{\sqrt{3}-1}{\sqrt{3}+1} \ $, what is the value of $ x^2+y^2$ ?
A. 15
B. 14
C. 13
D. 10
- If $ \sqrt{3^n}=729 $, then the value of $n$ is :
A. 6
B. 8
C. 12
D. 10
- If $\sqrt{x} \div \sqrt{441}=0.002 $, then the value of $x$ :
A. 0.1764
B. 1.764
C. 1.64
D. 2.64
- If $ 0.13 \div p^2=13 $, then $p$ equals to :
A. 0.01
B. 0.1
C. 10
D. 100
- If $ x=7-4\sqrt{3} $, then the value of $\left(x+\cfrac{1}{x}\right) $ is :
A. $3\sqrt{3}$
B. $8\sqrt{3}$
C. $14 + 8\sqrt{3}$
D. 14