Squares & Square Roots
What is a perfect square?
A number that has a whole number as its root.
What is Pythagorean Theorem?
a2 + b2 = c2
What is a perfect cube?
A number that has a whole number as its cube root?
Is 1/2 a decimal? Explain.
What is a rational number?
A number that can be written as a fraction.
What are the square roots of 9?
+3 & -3
What is the converse of Pythagorean Theorem?
If a2 + b2 = c2, it is a right triangle.
What is the cube root of 8?
2
Is 1/6 a fraction? Explain.
Yes, it has a numerator & denominator?
What is an irrational number?
A number that can't be written as a fraction.
Evaluate the expression:
22 + 17
21
A right triangle has a height of 24 in. and a length of 10 in. What is the length of the hypotenuse?
26 inches
Evaluate the expression:
53 - 22
103
Write .8282... as a fraction.
82/99
Is 7/8 rational? Explain.
Yes, it's written as a fraction.
Solve for x:
x2 - 18 = 82
x= 10, -10
Is this a right triangle?
8, 9, 12
No. 64 + 81 does not equal 144.
Solve for x:
x3 + 14 = 743
x = 9
Write 6/11 as a decimal.
.54...
Yes, repeating decimals can be written as fractions.
3x2 - 8 =184
x = 8, -8
A right triangle has a hypotenuse of 25 yd. and a height of 24 yd. What is the length of the third side?
7 yd.
Solve for x (leave answer in the radical):
4x3 - 6 = 92
x = cube root of 24.5
Compare: 5/13 & .6565...
Have both numbers written as a decimal & compare using < , > , or =.
.385 < .6565...
Is (-16)1/2 rational? Explain.
No, square roots of negative numbers are irrational.