Respuesta :

Answer:

[tex]{ \rm{5 \div \sqrt{5} }} \\ \\ { \rm{ = \frac{5}{ \sqrt{5} } }}[/tex]

• By rationalizing:

[tex]{ \rm{ = \frac{5 \times \sqrt{5} }{ \sqrt{5} \times \sqrt{5} } }} \\ \\ = { \rm{ \frac{5 \sqrt{5} }{5} }} \\ \\ = \sqrt{5} [/tex]

adioabiola

The result of the simplification of the quotient; 5÷√5 is; √5

Quotient of roots

The given quotient is;

  • 5÷√5

Hence, to simplify we can multiply both the number and denominator by; √5 so that we have;

  • (5 × √5)/(√5 ×√5)

Recall, √5 ×√5 = 5.

Hence, we have; (5√5)/5 = √5

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