nikemann56 nikemann56
  • 11-04-2019
  • Mathematics
contestada

which choices are equivalent to the expression below? 4 square root 3

Respuesta :

carlosego
carlosego carlosego
  • 15-04-2019

For this case we must find an expression equivalent to:

[tex]4 \sqrt {3}[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So, we can rewrite the given expression as:

[tex]4 ^ {\frac {2} {2}} \sqrt {3} =\\\sqrt {4 ^ 2 * 3} =\\\sqrt {16 * 3} =\\\sqrt {48}[/tex]

So, an equivalent expression is:

[tex]\sqrt {48}[/tex]

Answer:

[tex]\sqrt {48}[/tex]

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