Question

Find the value of 3 square root 64

Answer 1

24

Explanation:

`3√(64) \\\\\mathrm{Factor\:the\:number:\:}\:64=8^2\\=3√(8^2)\\\\\mathrm{Apply\:radical\:rule}:\quad √(a^2)=a,\:\quad \:a\ge 0\\√(8^2)=8\\\\=3*\:8\\\\\mathrm{Multiply\:the\:numbers:}\:3*\:8\\=24`

Answer 2

24

Explanation:

This is just a radical.

`3√(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
`√(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!