Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

If $2√3 + √108 = 13.86$, then what is the value of $√108 + 6√3$?

**A**

20.78.

**B**

20.18.

**C**

20.16.

**D**

20.96.

**Soln.**

**Ans: a**

The given expression can be rearranged like this: $2√3 + √{6^{2} × 3}$, which is same as $2√3 + 6√3$ which is same as $8√3 = 13.86$, from which we get $√3 = 1.73$. Next we can see that $√108 + 6√3$ is same as $√{6^{2} × 3} + 6√3$, which is same as $12√3$, which gives $12 × 1.73$ = 20.78.

### Question 2

What is the value of ${√17}/6$ − $5/{√17}$?

**A**

${-13√17}/102$.

**B**

${+13√17}/102$.

**C**

${-5√17}/102$.

**D**

${+5√17}/102$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√17)^2} - 6 × 5}/{6 × √17}$, which is same as ${17 - 30}/{6 × √17}$, which is same as ${-13/{6 × √17}$. Rationalizing, we get ${-13/{6 × √17} × {√17/√17}$ which gives ${-13√17}/102$

### Question 3

How many 2 digit numbers are their whose squares end in 8?

### Question 4

What is the value of ${√7}/6$ − $3/{√7}$?

**A**

${-11√7}/42$.

**B**

${+11√7}/42$.

**C**

${-13√7}/42$.

**D**

${+13√7}/42$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√7)^2} - 6 × 3}/{6 × √7}$, which is same as ${7 - 18}/{6 × √7}$, which is same as ${-11/{6 × √7}$. Rationalizing, we get ${-11/{6 × √7} × {√7/√7}$ which gives ${-11√7}/42$

### Question 5

What is the value of ${√16/6}$ × ${5/√4}$ × ${6/√25}$?

This Blog Post/Article "Square and Cube Roots Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.