Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of ${√11}/6$ − $3/{√11}$?

**A**

${-7√11}/66$.

**B**

${+7√11}/66$.

**C**

${-11√7}/66$.

**D**

${-18√11}/66$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√11)^2} - 6 × 3}/{6 × √11}$, which is same as ${11 - 18}/{6 × √11}$, which is same as ${-7/{6 × √11}$. Rationalizing, we get ${-7/{6 × √11} × {√11/√11}$ which gives ${-7√11}/66$

### Question 2

What is the value of $x$ in $√{0.0064 × x}$ = 0.8?

### Question 3

If x = 0.5356, then what is the value of $9x + √{4x^2 - 4x + 1}$?

### Question 4

If $4√3 + √27 = 12.12$, then what is the value of $√12 + 5√3$?

**A**

12.12.

**B**

12.00.

**C**

11.12.

**D**

12.96.

**Soln.**

**Ans: a**

The given expression can be rearranged like this: $4√3 + √{3^{2} × 3}$, which is same as $4√3 + 3√3$ which is same as $7√3 = 12.12$, from which we get $√3 = 1.73$. Next we can see that $√12 + 5√3$ is same as $√{2^{2} × 3} + 5√3$, which is same as $7√3$, which gives $7 × 1.73$ = 12.12.

### Question 5

If $√2$ = 1.41, then what is the value of ${√2}/5$ − $9/{√2}$?

**A**

-6.081.

**B**

-3.042.

**C**

+6.081.

**D**

+3.042.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√2)^2} - 5 × 9}/{5 × √2}$, which is same as ${2 - 45}/{5 × √2}$, which is same as ${-43/{5 × √2}$. Rationalizing, we get ${-43/{5 × √2} × {√2/√2}$ which gives ${-43√2}/10$ which = -6.081.

### More Chapters | See All...

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This Blog Post/Article "Square and Cube Roots Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-04-20