A. Definitions

square rooting a number – finding the number that when multiplied by itself equals the number being square rooted.

perfect squares – numbers that can be square rooted evenly like 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, . . .

4 = 2 because 2 • 2 = 4, BUT it could also be = 2 because –2 • 2 = 4.

25 = 5 because 5 • 5 = 25, BUT it could also be = 5 because –5 • 5 = 25.

means to give the positive square root or answer. 81 = 9


means to give the negative square root or answer. 49 = 7

±
means to give the positive AND negative square root or answer. ±25 = ± 5
B. Evaluating the Expression where a = 1, b = 2, c = 3
 Substitute the values.
 Follow order of operations to find the value of the expression under the .
 Find the square root of the number.
C. Evaluating an Expression like
 Make two problems.
 One with only the +
 One with only the 
 Use order of operations to find the two values.
 Round the to the nearest hundredth when it cannot be square rooted evenly.
D. Pythagorean Theorem Right Triangle
 Pythagorean Theorem is a² + b² = c².
 The Pythagorean Theorem is used to find any missing side of a right triangle, when the other two lengths are known. It is also used to determine if three particular lengths would form a right triangle.
 "a" and "b" are the legs that form the right angle.
 "c" is the hypotenuse.


