Rational vs Irrational
Classify each number as rational or irrational. Then determine if the sum will be rational or irrational.
a) 3/4 and b)
sqrt9
both are rational so the sum is rational
Simplify fully:
sqrt72
6sqrt2
Whole, integer, rational or irrational
44
Whole
Find the solution for the system of equations.
y=2x+8
y=x+6
(-2,4)
Classify each number as rational or irrational. Then determine if the sum will be rational or irrational.
a) -5.2 and b)
-3sqrt5
a is rational, b is irrational, sum is irrational
Simplify fully:
-5sqrt18
-15sqrt2
Whole, integer, rational or irrational
-11/53
Rational
What is the solution to the system of equations?
y=2x
y=x+6
(6,12)
Classify each number as rational or irrational. Then determine if the sum will be rational or irrational.
a) 4.139857... and b)
pi
Both are irrational, sum is irrational
Simplify fully:
8sqrt(288x^3)
96xsqrt(2x)
Whole, integer, rational or irrational
-2,548
Integer
What is the solution to the system of equations?
y=2x-2
y=3x-2
(0,-2)
Classify each number as rational or irrational. Then determine if the product will be rational or irrational.
a) 1/3 and b)
5.bar2
Both are rational, product is rational.
Simplify fully:
3sqrt(57x^4)
3x^2sqrt57
Whole, integer, rational or irrational
2.67634905856553...
irrational
Is (6,2) a solution to this system of equations?
y=2
y=1/3x
yes
Classify each number as rational or irrational. Then determine if the product will be rational or irrational.
a) pi b) 1
a) irrational, b) rational, product is irrational
Simplify fully:
10ysqrt(75x^5)
50x^2ysqrt(3x)
Whole, integer, rational or irrational
square root of 225
whole
Is (3,1) a solution to this system of equations?
No
It should be (-3,1)