Aptitude : : Square root and Cube root Questions & Answers

  1. 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

  1. If $ \sqrt{3^n}=729 $, then the value of $n$ is :

A. 6

B. 8

C. 12

D. 10

  1. 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

  1. If $ 0.13 \div p^2=13 $, then $p$ equals to :

A. 0.01

B. 0.1

C. 10

D. 100

  1. 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