Question

I need to know how to simplify the sqrt or 432

Answer 1

Answer:
`12√(3)`

On a keyboard, you would write 12*sqrt(3)

==============================================

Step-by-step explanation:

Find the prime factorization of 432 to get

432 = 2^4*3^3

That allows us to do the following steps

`√(432) = √(2^4*3^3)\\\\√(432) = √(2^2*2^2*3^2*3^1)\\\\√(432) = √(2^2)*√(2^2)*√(3^2)*√(3^1)\\\\√(432) = 2*2*3*√(3)\\\\√(432) = 12√(3)\\\\`

------------------

Or you could do something like this

`√(432) = √(144*3)\\\\√(432) = √(144)*√(3)\\\\√(432) = 12√(3)\\\\`

Answer 2

`\sqrt{16 *9 * 3 \: \: equals \:4 * 3 * \sqrt{3that \: eauas \: 12 √(3) } }`

Step-by-step explanation:

Square root of 16 ×9×3= square root of 432

square root of 16 =4

square root of 9 =3

That will equal 4×3× square root of 3 which finally equals to 12 square root of 3.