Question

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

Answer 1

Answer:

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

Step-by-step 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.