Question

What are these Expressions written in radical form?

Answer 1

Remember the following information:

`a^{(m)/(n)} = \sqrt[n]{a^m}`

Using this information, we can convert all of the expressions into radical form:

`2^{(1)/(2)} = \sqrt[2]{2} = √(2)`

`2^{(2)/(3)} = \sqrt[3]{2^2} = \sqrt[3]{4}`

`3^{(3)/(2)} = \sqrt[2]{3^3} = √(27)`

`3^{(1)/(3)} = \sqrt[3]{3}`

Our answers are
`\boxed{√(2), \sqrt[3]{4}, √(27), \sqrt[3]{3}}`, respectively.