UNIT 1.2 SQUARE ROOTS OFNON-PERFECT SQUARES
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I) REVIEW: PERFECT SQUARES
A number that is the square of another number
Square roots of “perfect squares” are integers
Ex: Indicate which of the following are perfect squares
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If a number is not a perfect square, we can PS to findthe square root of that number
Largest P.S. that issmaller than 189
Smallest P.S. thatis larger than 189
II) ESTIMATING SQUARE ROOTS
Ex: Given each roots, estimate the value and draw it on anumber line:
Find two perfect squarethat 17 is in between
Place the values on a
Number line
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PRACTICE: ESTIMATE THE FOLLOWING ROOTS ANDDRAW IT ON A NUMBER LINE @
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II) ESTIMATING SQUARE ROOTS OF FRACTIONS
There are several ways to estimate the square root offractions
All methods are estimates and never completely exact
1st Method:
Round the numerator and denominator each to itsnearest perfect square
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2nd Method: Multiply the numerator and denominatorby a common number so that each value will be closerto a perfect square
We know that our answershould be a bit bigger that 1.8
because we rounded 85down to 81
Therefore, our estimate would
be approximately 1.82 to 1.85
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HOMEWORK:
P 18, 19
# 4, 5, 6, 10, 11
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