Respuesta :

Answer:

24

Step-by-step explanation:

This is just a radical.

[tex]3\sqrt{64}[/tex].

Radicals are formed by dividing a number into a perfect square, then taking the square root of it and putting it outside the sign.

This means that the value for this will be [tex]\sqrt{3^2 \cdot 64}[/tex]

[tex]3^2 = 9\\\\64\cdot 9 = 576[/tex]

And the square root of 576 is 24 (as [tex]24\cdot 24 = 576[/tex]).

Hope this helped!

Answer:

24

Step-by-step explanation:

[tex]3\sqrt{64} \\\\\mathrm{Factor\:the\:number:\:}\:64=8^2\\=3\sqrt{8^2}\\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a^2}=a,\:\quad \:a\ge 0\\\sqrt{8^2}=8\\\\=3\times\:8\\\\\mathrm{Multiply\:the\:numbers:}\:3\times\:8\\=24[/tex]

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