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________. Find the sides of the following squares given the area of each. Hints: How is the area of a square found? multiply the sides What is true about the sides of a square?

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  1. ________ Find the sides of the following squares given the area of each. Hints: How is the area of a square found? multiply the sides What is true about the sides of a square? they are equal Therefore the sides must be the same and multiply to = the area.

  2. 5 7 2x 3x3 By finding the sides of the squares you found the ______ ______ of the area. A = 49 A = 9x6 A = 4x2 A= 25

  3. Square Roots 5 7 2x 3x3 By finding the sides of the squares you found the square roots of the areas. Square root - A = 49 A = 9x6 A = 4x2 A= 25

  4. Square Roots A = 400 5 20 2x 3x3 By finding the sides of the squaresyoufound the square roots of the areas. Square root -the side of a square - a #/term that multiplies by itself to equal a certain #/term A = 9x6 A= 25 A = 4x2

  5. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 =

  6. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6

  7. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6 -√ asks for the negative root. Ex. -√49 =

  8. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6 -√ asks for the negative root. Ex. -√49 = - 7

  9. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6 -√ asks for the negative root. Ex. -√49 = -7 +√ asks for both roots. Ex. + √64 =

  10. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6 -√ asks for the negative root. Ex. -√49 = -7 +√ asks for both roots. Ex. + √64 = + 8

  11. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6 -√ asks for the negative root. Ex. -√49 = -7 +√ asks for both roots. Ex. + √64 = + 8 The √ symbol is called a ______.

  12. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6 -√ asks for the negative root. Ex. -√49 = -7 +√ asks for both roots. Ex. + √64 = + 8 The √ symbol is called a radical.

  13. Square Roots Evaluate. a) √49 b) -√100 c)+√25x2 d) √-36

  14. Square Roots Evaluate. a) √49 = 7 b) -√100 = -10 c)+√25x2 = + 5x d) √-36 = n.p. A negative # can not have a square root since no # times itself = a neg.

  15. Square Roots Numbers such as 1, 4, 9, 16, 25, 36….. are known as _______ ________

  16. Square Roots Numbers such as 1, 4, 9, 16, 25, 36….. are known as square #s or perfect squares since their square roots are whole #s. Square # - a # that has a whole # as a square root

  17. Square Roots What are the square roots of 16? 4 and -4 since (4)(4)=16 and (-4)(-4)=16 Therefore any positive # has 2 square roots, a positive and a negative. √ asks for the positive root. Ex. √36 = 6 -√ asks for the negative root. Ex. -√49 = -7 +√ asks for both roots. Ex. + √64 = + 8 The √ symbol is called a radical.

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