Question

A students work to simplify a radical is shown below. Select the statemmebt which best applies to rhe sample mathematical work

Answer 1

D. The work shown above is correct, and
`y^5.\sqrt[4]{y^3}` may not be simplified further.

Explanation:

`\sqrt[4]{y^(23) } = \sqrt[4]{y^4 . y^4 . y^4.y^4.y^3}`

`\sqrt[4]{y^4. y^4.y^4. y^4.y^3} = y^5 . \sqrt[4]{y^3}`

When we simplify, we get

`\sqrt[4]{y^(23) } = y^5.\sqrt[4]{y^3}`

The answer: D. The work shown above is correct, and
`y^5. \sqrt[4]{y^3}` may not be simplified further.

Thank you.