Squares of Numbers Greater than 20 Return to Table of Contents.

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Presentation transcript:

Squares of Numbers Greater than 20 Return to Table of Contents

Think about this... What about larger numbers? How do you find ?

It helps to know the squares of larger numbers such as the multiples of tens = = = = = = = = = = What pattern do you notice?

For larger numbers, determine between which two multiples of ten the number lies = = = = = = = = = = = = = = = = = = = = 100 Next, look at the ones digit to determine the ones digit of your square root.

2809 Examples: Lies between 2500 & 3600 (50 and 60) Ends in nine so square root ends in 3 or 7 Try 53 then = 2809 Lies between 6400 and 8100 (80 and 90) Ends in 4 so square root ends in 2 or 8 Try 82 then = 6724 NO! 88 2 =

15 Find.

42 16 Find.

17 Find.

Simplifying Perfect Square Radical Expressions Return to Table of Contents

Square Root Of A Number Recall: If b 2 = a, then b is a square root of a. Example: If 4 2 = 16, then 4 is a square root of 16 What is a square root of 25? 64? 100?

Square Root Of A Number Square roots are written with a radical symbol Positive square root: = 4 Negative square root:- = - 4 Positive & negative square roots: = 4 Negative numbers have no real square roots no real roots because there is no real number that, when squared, would equal -16.

Is there a difference between Which expression has no real roots? & Evaluate the expressions: ?

is not real Evaluate the expression