11.1 Square Roots Definition Example

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Presentation transcript:

11.1 Square Roots Definition Example Square root - a number that produces a specified quantity when multiplied by itself. The square root of 25 is 5, since 5 x 5 = 25. Perfect square or Square number – A number that is the square of an integer. 9 is a perfect square because 9 = 32 Radical expression – An expression involving a radical sign. Copy Into Notes

Finding Square Roots Square Root – A number which, when multiplied by itself, results in another number. 52 = 25 So, the square root of 25 is 5. We write it:

Perfect Squares Perfect square – A number that is a square of a whole number. Can be represented by arranging objects in a square. You need to memorize the first 15 perfect squares.

Perfect Squares Write this down! Lets find them… Squared Square Root Squared Perfect Square Square Root 12 = 1 √1=1 92 = 81 √81=9 22= 4 √4=2 102 = 100 √100=10 32 = 9 √9=3 112 = 121 √121=11 42 = 16 √16=4 122 = 144 √144=16 52 = 25 √25=5 132 = 169 √169=13 62 = 36 √36=6 142 = 196 √196=14 72 = 49 √49=7 152 = 225 √225=15 82 = 64 √64=8 Write this down!

Square Roots

Estimating Square Roots . Since 37 is not a perfect square, we have to use another method to calculate it’s square root. Most numbers are NOT perfect squares and their solutions are not whole numbers.

Find the two square roots of the number. 49 121 3600

Evaluate the square root.

Find the side length of the square with the given area.

Evaluate the expression when x=2, y=5, and z=-1 .

Solve the equation. .