Question

I need to know how to simplify the sqrt or 432

Answer 1

Answer:

$\sqrt{16 \times9 \times 3 \: \: equals \:4 \times 3 \times \sqrt{3that \: eauas \: 12 \sqrt{3} } }$

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.

Answer 2

Answer: $12\sqrt{3}$

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

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Explanation:

Find the prime factorization of 432 to get

432 = 2^4*3^3

That allows us to do the following steps

$\sqrt{432} = \sqrt{2^4*3^3}\\\\\sqrt{432} = \sqrt{2^2*2^2*3^2*3^1}\\\\\sqrt{432} = \sqrt{2^2}*\sqrt{2^2}*\sqrt{3^2}*\sqrt{3^1}\\\\\sqrt{432} = 2*2*3*\sqrt{3}\\\\\sqrt{432} = 12\sqrt{3}$

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Or you could do something like this

$\sqrt{432} = \sqrt{144*3}\\\\\sqrt{432} = \sqrt{144}*\sqrt{3}\\\\\sqrt{432} = 12\sqrt{3}$