SOLVING RADICAL EQUATIONS USING PROPERTIES OF EQUALITY WORKSHEET

Solve the equation.

Problem 1 :

8^{x – 2} = √8

Solution

Problem 2 :

√5 = 5^{x + 4}

Solution

Problem 3 :

(5^th√7)^x = 7^{2x + 3}

Solution

Problem 4 :

12^{2x – 1} = (∜12)^x

Solution

Problem 5 :

(∛6)^2x = (√6)^{x + 6}

Solution

Problem 6 :

(5^th√3)^{5x - 10} = (8^th√3)^4x

Solution

Solve each equation. 

Problem 1 :

0 = -2 + √(6x – 1)

Solution

Problem 2 :

√(4x – 20) - √(12 - 2x) = 0

Solution

Problem 3 :

-6 + 6(26 – a)^4/3 = 90

Solution

Problem 4 :

√(7a + 2) – 2 = 7a

Solution

Problem 5 :

(4x – 3)^3/2 = 8

Solution

Problem 6 :

(-2 – x)^0.5 – x = 2

Solution

Problem 7 :

(x + 5)^2/3 = 4

Solution

Problem 8 :

(x - 2)^2/3 = 9

Solution

Problem 9 :

3(x - 2)^3/4 = 24

Solution

Problem 10 :

3(x + 3)^3/4 = 81

Solution

Problem 11 :

(x + 1)^3/2 - 2 = 25

Solution

Problem 12 :

3 + (4 - x)^3/2 = 11

Solution