Textbook: Chapter 2.4 page 81, Question #36

Question: Determine √√√65 536

1. √65 536 = 256
√65 536 is a perfect square because when you multiply 256 x 256, it equals 65 536.
√65 536 = 256 x 256

2. √256 = 16
√256 is a perfect square because when you multiply 16 x 16, it equals to 256.
√256 = 16 x 16

3. √16 = 4
√16 is a perfect square because when you multiply 4 x 4, it equals to 16.
√16 = 4 x 4

• Since there are three square root signs (radicals), that means you keep square rooting the given number three times.
• The final answer of √√√65 536 should be 4.

Here is a picture of perfect squares:

URL: http://www.math.com/school/subject1/images/S1U1L9DP3.gif