Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of $(√9 - 1/√9)^2$?

### Question 2

If $5√3 + √108 = 19.05$, then what is the value of $√27 + 3√3$?

**A**

10.39.

**B**

10.64.

**C**

10.172.

**D**

10.81.

**Soln.**

**Ans: a**

The given expression can be rearranged like this: $5√3 + √{6^{2} × 3}$, which is same as $5√3 + 6√3$ which is same as $11√3 = 19.05$, from which we get $√3 = 1.73$. Next we can see that $√27 + 3√3$ is same as $√{3^{2} × 3} + 3√3$, which is same as $6√3$, which gives $6 × 1.73$ = 10.39.

### Question 3

If x = 0.8418, then what is the value of $4x + √{16x^2 - 8x + 1}$?

### Question 4

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

**A**

${-15√3}/18$.

**B**

${+15√3}/18$.

**C**

${-9√3}/18$.

**D**

${+9√3}/18$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√3)^2} - 6 × 3}/{6 × √3}$, which is same as ${3 - 18}/{6 × √3}$, which is same as ${-15/{6 × √3}$. Rationalizing, we get ${-15/{6 × √3} × {√3/√3}$ which gives ${-15√3}/18$

### Question 5

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.

### More Chapters | See All...

Analogies | Sitting Arrangements | Statements and Conclusions | Paper Folding | Averages | Blood Relations | Course of Action | Essential Part | Surds and Indices | Classification Test | More...

This Blog Post/Article "Square and Cube Roots Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.