Square and Cube Roots Quiz Set 002

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 ${-11√7}/42$

We know that 0.02 = $√0.0004$, so by inspection we can see that 0.0604 - 0.06 will give us 0.0004.

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.

Let the number of cars = n. So litres of petrol in one car are also n, and therefore, litres of petrol in n cars = $n^2$. We have been given $n^2 = 196$, which gives n = 14.

Let the number be n. So ${1/4} × √^3n$ = 0.7, which gives $√^3n$ = 4 × 0.7 = 2.8. so n = $2.8^3$ = 21.952.