Alg 1 Lesson 2.7 – Find Square Roots and Compare Real ...

Alg 1 Lesson 2.7 – Find Square Roots and Compare Real Numbers Square root of a number: Ask yourself, “what number do I square to get this number?”  Ex:

All positive real numbers have two square roots: Positive square root Negative square root

The square root of zero is 0 Negative numbers do not have square roots

Find the square roots: a)

b)

c)

Perfect Square – the square of an integer Integer Perfect square

1 1

2 4

5 25

10 100

15 225

Approximate square root to the nearest integer a)

b)

c)

Irrational Numbers – are number that cannot be written as a quotient of two integers. In the decimal form, it does not terminate or repeat. Ex:

Real numbers: all rational and irrational numbers Venn Diagram

Conditional Statements: If it is not in if-then form, rewrite it so that it is and state whether it is true or false. If it is false, give a counterexample.  Ex:

No integers are irrational numbers.

 Ex:

All real numbers are rational numbers.