3.8 ­ Finding and Estimating Square Roots.notebook September 16, 2011 When you square an integer, that number is called a Perfect Square Chapter 3 Section 8 Why??? Finding and Estimating Square Roots Square Root is the number being multiplied by itself to get the area (the side of the square) Nov 9­5:49 PM Oct 5­4:29 PM How do we "undo" a squared number? ? 42 = 16 2 (­4) = 16 Every positive number has 2 square roots - Principal Square Root (positive) - Negative Square Root Notice how this 2 means there will be 2 answers! Sep 29­2:22 PM Perfect Squares: squares with no decimals they work out perfectly Square Root Rule We don't take a square root of negative numbers. WHY???? Sep 29­2:22 PM Perfect Squares ­ ­ Sep 29­2:22 PM Mar 7 ­ 7:15 AM 1 3.8 ­ Finding and Estimating Square Roots.notebook September 16, 2011 What if we are asked to find the What is the square root of 18? Estimate: Estimate the answer by using your knowledge of perfect squares! Exact: Round to the nearest hundredth (2 places) Sep 29­2:22 PM Sep 29­2:48 PM What is the square root of ­92? What is the square root of 32? Estimate: Estimate: Exact: Round to the nearest hundredth (2 places) Sep 29­2:52 PM Hmm....will this work??? Exact: Round to the nearest hundredth (2 places) Sep 29­2:55 PM Hmm....will this work??? ? ? Multiplication Property of Square Roots (a and b must be whole numbers!!) Sep 29­2:48 PM Sep 29­2:48 PM 2 3.8 ­ Finding and Estimating Square Roots.notebook Woah! What about September 16, 2011 ? Sep 29­2:48 PM 3