|Example - 1:|
Find the square root of 81x2.
Given that 81x2,
we can write this as 9x.9x
Example - 2:
Find the square root of 256x2y4z2.
Given that, 256x2y4z2,
we can write it as (16xy2z)2
| 16x2 is a perfect square ||16x2 = (4x)2 or (-4x)2 |
| 1/36x2 is a perfect square ||1/36x2 = (1/6x)2 or (-1/6x)2 |
| 21 is not a perfect square ||There is no rational number k such that k2 = 21 |
| x2 is a perfect square ||x2 = (x)2 or (-x)2 |
| a4 is a perfect square ||a4 = (a)2 or ((-a)2)2 |
| a8b6 is a perfect square ||a8b6 = (a4b3)2 or (-a4b3)2 |
Directions: Solve the following problems and choose the positive root. Also write at least 10 examples of your own.