xoticnation57 xoticnation57
  • 29-11-2017
  • Mathematics
contestada

Select all radical expressions that are equivalent to 5 2/3 ( its an improper fraction)

√15

(3√5)^2

3√5^2

3√10

Respuesta :

frika
frika frika
  • 15-11-2018

In order to select all radical expressions that are equivalent to [tex]5^{\frac{2}{3}},[/tex] you have to represent all given expressions as powers.

Option A.

[tex]\sqrt{15}=15^{\frac{1}{2}}.[/tex]

Option B.

[tex](\sqrt[3]{5})^2=(5^{\frac{1}{3}})^2=5^{\frac{2}{3}}.[/tex]

Option C.

[tex]\sqrt[3]{5^2}=(5^2)^{\frac{1}{3}}=5^{\frac{2}{3}}.[/tex]

Option D.

[tex]\sqrt[3]{10}=10^{\frac{1}{3}}.[/tex]

Answer: correct choices B and C

Answer Link
thefirstBillWurtzian thefirstBillWurtzian
  • 24-11-2020

Answer:

the second and third ones

Step-by-step explanation:

Answer Link

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