sanchezp0821 sanchezp0821
  • 15-01-2019
  • Mathematics
contestada

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

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

Respuesta :

ikarus ikarus
  • 15-01-2019

Answer:

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

Step-by-step explanation:

[tex]\sqrt[4]{y^{23} } = \sqrt[4]{y^4 . y^4 . y^4.y^4.y^3}[/tex]

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

When we simplify, we get

[tex]\sqrt[4]{y^{23} } = y^5.\sqrt[4]{y^3}[/tex]

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

Thank you.

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