Respuesta :

[tex] \sqrt{84} [/tex]
[tex] \sqrt{4 \times 3 \times 7} [/tex]
[tex] 2\sqrt{21} [/tex]

Answer:

[tex]\sqrt{84}=2\sqrt{21}[/tex]

Step-by-step explanation:

we need to simplify the radical [tex]\sqrt{84}[/tex]

84 can be written as [tex]2 \cdot 2 \cdot 3 \cdot 7[/tex]

[tex]\sqrt{84}=\sqrt{2 \cdot 2 \cdot 3 \cdot 7}[/tex]

square root (2*2)= 2

[tex]\sqrt{84}=2\sqrt{3 \cdot 7}[/tex]

[tex]\sqrt{84}=2\sqrt{21}[/tex]