Question

Find the value of 3 square root 64

Answer 1

Answer:

24

Step-by-step explanation:

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

Answer 2

Answer:

24

Step-by-step explanation:

This is just a radical.

$3\sqrt{64}$.

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 $\sqrt{3^2 \cdot 64}$

$3^2 = 9\\\\64\cdot 9 = 576$

And the square root of 576 is 24 (as $24\cdot 24 = 576$).

Hope this helped!