How to convert between entire and mixed radicals

Get the most by viewing this topic in your current grade. Pick your course now.

Converting to Mixed Radicals
Convert the following radicals to mixed radicals.
1. $\sqrt {486}$
2. ${^3}\sqrt{{8000}}$
3. ${^5}\sqrt{{160}}$
4. $3{^3}\sqrt{{ - 200}}$
5. $\frac{1}{2}\sqrt {25}$
6. $0.5\sqrt {6.25}$
Converting to Entire Radicals
Convert the following mixed radicals to entire radicals.
1. $3\sqrt 2$
2. $- 4\sqrt 5$
3. $- 5{^3}\sqrt{{16}}$
4. $\frac{1}{2}\sqrt 3$
5. $0.6{^3}\sqrt{{50}}$

Comparing Radicals
Rank the mixed radicals below in order from least to greatest. Do not use a calculator.

 i)  $5\sqrt {3}$          ii)   $6\sqrt {4}$        iii)   $3\sqrt {5}$        iv)  $4\sqrt {6}$        v)  $\sqrt {95}$

Conversion between entire radicals and mixed radicals