Transcript Square Roots

________
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.
A= 25
5
A = 49
7
A = 4x2
A = 9x6
2x
3x3
By finding the sides of the squares you
found the ______ ______ of the area.
Square Roots
A= 25
5
A = 49
7
A = 4x2
2x
A = 9x6
3x3
By finding the sides of the squares you
found the square roots of the areas.
Square root -
Square Roots
A= 25
5
A = 400
20
2
A = 4x
2x
A = 9x6
3x3
By finding the sides of the squares you
found the square roots of the areas.
Square root - the side of a square
- a #/term that multiplies by itself to equal a
certain #/term
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.