# Rationals, Irrationals, and Radicals

**Question description**

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)

- Find
the exact length of
*c*in unsimplified radical form - Find
the exact length of
*c*in simplified radical form - Find
*c*to the nearest hundredth

2. Consider 4/13 and 3/10

- Compare the numbers.
- Find a rational number between the two given numbers.

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

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