Question

Simplify and write your answer in radical form.
a. √ 216 b. √ 512

Answer 1

Explanation:

a. √ 216 = √(6^2 * 6) = 6√6

b. √ 512 = √(8^2 * 8) = 8√8 = 8 * 2√2 = 16√2

Answer 2

Hello!

Answer:

`\Large \sf \boxed{\sf 6√(6)} \Large \text{~and~}\boxed{\sf 16√(2)}`

Explanation:

a)

`\sf √(216)\\\\ =√(36 * 6) \\\\= √(36) * √(6)\\\\= √(6^2) * √(6)\\\\= 6 *√(6)\\\\\boxed{\sf = 6√(6)}`

b)

`\sf √(512)\\\\ = √(2^9) \\\\=√(2^8 * 2) \\\\= √(2^8) * √(2)\\\\= √(2^8) √(2)\\\\= √(256)√(2) \\\\\boxed{\sf= 16 √(2)}`