Square Roots and Finding Square Sides
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Learn how to find square roots and calculate the sides of squares based on their areas. Understand the concept of perfect squares and whole numbers as square roots.
Square Roots and Finding Square Sides
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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? they are equal Therefore the sides must be the same and multiply to = the area.
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
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
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
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 =
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 -√ asks for the negative root. Ex. -√49 =
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
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 =
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
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 ______.
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.
Square Roots Evaluate. a) √49 b) -√100 c)+√25x2 d) √-36
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.
Square Roots Numbers such as 1, 4, 9, 16, 25, 36….. are known as _______ ________
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
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.