Square and Cube Roots Quiz Set 001

Let the number be n. So ${1/3} × √^3n$ = 0.6, which gives $√^3n$ = 3 × 0.6 = 1.8. so n = $1.8^3$ = 5.832.

We can see that 0.02 × 0.02 × 0.02 = 0.000008, so cube root is 0.02.

The given expression can be rearranged like this: $2√3 + √{3^{2} × 3}$, which is same as $2√3 + 3√3$ which is same as $5√3 = 8.66$, from which we get $√3 = 1.73$. Next we can see that $√27 + 4√3$ is same as $√{3^{2} × 3} + 4√3$, which is same as $7√3$, which gives $7 × 1.73$ = 12.12.

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 ${-13√17}/102$

The given expression can be rearranged like this: $4√5 + √{4^{2} × 5}$, which is same as $4√5 + 4√5$ which is same as $8√5 = 17.89$, from which we get $√5 = 2.24$. Next we can see that $√125 + 6√5$ is same as $√{5^{2} × 5} + 6√5$, which is same as $11√5$, which gives $11 × 2.24$ = 24.60.