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

If $√2$ = 1.41, then what is the value of ${√2}/5$ − $11/{√2}$?

**A**

-7.495.

**B**

+7.495.

**C**

-9.81.

**D**

+9.81.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√2)^2} - 5 × 11}/{5 × √2}$, which is same as ${2 - 55}/{5 × √2}$, which is same as ${-53/{5 × √2}$. Rationalizing, we get ${-53/{5 × √2} × {√2/√2}$ which gives ${-53√2}/10$ which = -7.495.

### Question 3

If $√5$ = 2.24, then what is the value of ${√5}/2$ − $9/{√5}$?

**A**

-2.907.

**B**

-2.073.

**C**

-2.007.

**D**

-2.097.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√5)^2} - 2 × 9}/{2 × √5}$, which is same as ${5 - 18}/{2 × √5}$, which is same as ${-13/{2 × √5}$. Rationalizing, we get ${-13/{2 × √5} × {√5/√5}$ which gives ${-13√5}/10$ which = -2.907.

### Question 4

What is the value of ${√11}/3$ − $2/{√11}$?

**A**

${5√11}/33$.

**B**

${15√11}/33$.

**C**

${13√11}/33$.

**D**

${6√11}/33$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√11)^2} - 3 × 2}/{3 × √11}$, which is same as ${11 - 6}/{3 × √11}$, which is same as ${5/{3 × √11}$. Rationalizing, we get ${5/{3 × √11} × {√11/√11}$ which gives ${5√11}/33$

### Question 5

What is the value of $√{(13 - 3√5) × (13 + 3√5)}$?

### More Chapters | See All...

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This Blog Post/Article "Square and Cube Roots Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.