Rationals, Irrationals, and Radicals

1. Refer to the triangle below. If a = 3 and b = 3,     (a is the height side of the triangle, b is the base and c is the slanted side)

1. Find the exact length of c in unsimplified radical form
2. Find the exact length of c in simplified radical form
3. Find c to the nearest hundredth

2. Consider 4/13 and 3/10

1. Compare the numbers.
2. Find a rational number between the two given numbers.

3. Use the Babylonian to approximate square root of 19 to the nearest hundredth