Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of $(√2 - 1/√2)^2$?

### Question 2

One-half of the cube-root of which number is 0.3?

### Question 3

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 4

What is the value of ${√5}/3$ − $5/{√5}$?

**A**

${-10√5}/15$.

**B**

${+10√5}/15$.

**C**

${-9√5}/15$.

**D**

${+9√5}/15$.

**Soln.**

**Ans: a**

The given expression can be simplified to ${{(√5)^2} - 3 × 5}/{3 × √5}$, which is same as ${5 - 15}/{3 × √5}$, which is same as ${-10/{3 × √5}$. Rationalizing, we get ${-10/{3 × √5} × {√5/√5}$ which gives ${-10√5}/15$

### Question 5

What is the value of ${√1296/5}$ × ${6/√36}$ × ${5/√36}$?

This Blog Post/Article "Square and Cube Roots Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.