9.1
The process of eliminating a radical from the denominator of a radical expression is called ___________.
Rationalizing
Solve
x^2= 196
Square Root of 196
+ or - 14
Find the solution:
2x + 12 = x - 24
2x + 12 = x + 24
2x = x + 12
x = 12
Find the inverse of the function:
(1,0) (5,7) ( 70, 69) (420, 1200)
Flip the X & Y values
(0,1) (7,5) (69, 70) (1200, 420)
Simplify
Square root of (32)
Prison method
4
Solve
x^2 - 16 = 0
x^2 = 16
x = + or - 4
Find the solution:
Square root of (B + 7) - 5 = -2
(B+7) =-2
(B+7)^2 = 3
B+7 = 9
B = 2
Find the inverse of the function:
F(X) = 3x+2
F(x) = 3x+2
y = 3x+2
x = 3y+2
x - 2 = 3y
x - 2 all over 3 = y
Simplify
Square root of (20)
Square root of 20
20
2 10
2 2 5
4 Square root of (5)
Solve
(3x-3)^2 + 15 = 24
(3x-3)^2 + 15 =24
(3x-3)^2 = 9
3x-3 = + or - 3
3x-3 = -3 or 3x-3 = 3
x=0 or 2
Find the solution:
5 Square root of (y - 2) = 10
5(y - 2) = 10
(y - 2) = 2
(y - 2) ^2 = 2
y - 2 = 2
y = 4
Find the inverse of the function:
F(X) = 15x+10
F(X) = 15x+10
y = 15x+10
x = 15y+10
x - 10 = 15y
x - 10 all over 15 = y
x
Simplify
Cube root of (16)
Cube root of 16
16
2 8
2 2 4
2 2 2 2
2 Cube root of (2)
Solve
(x + 5)^2 = 25
(x + 5)^2 = 25
x + 5 = + or - 5
x = -10 or 0
Find the solution:
Square root of (3x+3) = Square root of (x+6)
Square root of (3x+3) = Square root of (x+6)
(3x+3)^2 = (x+6)^2
3x+3 = x+6
3x = 3
x = 1
Find the inverse of the function:
F(X) = 45x - 9
F(X) = 45x - 9
y = 45x - 9
x= 45y - 9
x + 9 = 45y
(x + 9)/45
Simplify
Cube root of (24)
Cube root of (24)
24
2 12
2 2 6
2 2 2 3
2 Cube root of (3)
Solve
(5x)^2 + 10 = 35
(5x)^2 + 10 = 35
(5x)^2 = 25
5x = + or - 5
x = 1 or -1
Find the solution:
Cube root of (3x+15) = Cube root of (x+3)
Cube root of (3x+15) = Cube root of (x+3)
(3x+15)^3=(x+3)^3
3x^3 +3375 = x^3 +27
2x^3 = 3348
x^3 = 1674
Find the inverse of the function:
F(X) = 150x + 10
F(X) = 150x + 10
y = 150x + 10
x = 150y + 10
x - 10 = 150y
(x - 10)/150 = y