SOLUTION: so i have a homework question that i don't understand. i understand that they are alike. but i don't know how to solve for the variable example 1} 6(radical)a = 4.2 example

Question 172117This question is from textbook Discovering Advanced Algebra
: so i have a homework question that i don't understand. i understand that they are alike. but i don't know how to solve for the variable
example 1} 6(radical)a = 4.2
example 2} 8(radical)b^8 =14.3
example 3} 1/(radical)c = .55
example 4} (5(radical)d) ^7 =23 This question is from textbook Discovering Advanced Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1} 6(radical)a = 4.2
6sqrt(a) = 4.2
6a = 4.2sqrt(a)
a = [4.2sqrt(a)]/a
----------------------------
2} 8(radical)b^8 =14.3
8b^4 = 14.3
b^4 =14.3/8
b = (14.3/8)^(1/4)
-------------------------
3} 1/(radical)c = .55
1/sqrt(c) = 0.55
sqrt(c) = 1/0.55
sqrt(c) = 1.818181...
c = 3.305785...
-------------------------

4} (5(radical)d) ^7 =23
[5sqrt(d)]^7 = 23
5sqrt(d) = 23^(1/7)
sqrt(d) = [23^(1/7)/5]
d = [23^(2/7)/25]
========================
Cheers,
Stan H.

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