sections 11.1: square roots & 11.2: approximating square roots pg.533, 540

Sections 11.1: Square Roots & 11.2: Approximating Square Roots

Pg.533, 540

Objectives & Vocabulary1. Evaluate expressions using square roots (11.1).2. Approximate square roots of numbers (11.2).

• Square root (pg.533): of a number n, the square root is the number m which, when multiplied by itself, equals n.

• Perfect square (pg.533): numbers that are squares of integers [ex: 4 and 25 are perfect squares].

• Radical expression (pg.534): an expression involving a radical sign (or square root).

• Irrational number (pg.541): cannot be written as a quotient of two integers, and the decimal form of an irrational number neither terminates nor repeats [ex: the square root of 11].

• Real number (pg.541): all rational and irrational numbers (any number is a real number).

Example 1: Finding Square Roots

A. Find the square root of 81.

B. Find the square root of 49.

Example 2: Evaluating Square Roots. 36

. 16 and - 16

. 0

A

B

C

Example 3: Evaluating Radical Expressions

2 2

Evaluate the expression when z = 7 and m = -2.

. 29

. 11

A z

B z m

Example 4: Solving Equations Using Square Roots

2

2

Solve the equation.

A. 25

. 5 54

x

B h

Example 5: Approximating Square Roots

. Approximate 11 to the nearest whole number.

B. Approximate 11 to the nearest tenth.

A

Homework Time—yea!

• Pg.535(2-22E) &• pg.542-543(2-20E, no10)