Answer:
b = [tex]\frac{a}{3a-2}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{3a-2}[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex]
Clear the radicals by squaring both sides
([tex]\sqrt{3a-2}[/tex] )² = ( [tex]\sqrt{\frac{a}{b} }[/tex] )², that is
3a - 2 = [tex]\frac{a}{b}[/tex] ( multiply both sides by b )
b(3a - 2) = a ← divide both sides by (3a - 2)
b = [tex]\frac{a}{3a-2}[/tex]
Answer:
b = a/(3a-2)
Step-by-step explanation:
(3a-2)^½ = (a/b)½
Square both sides
3a - 2 = a/b
Reciprocate both sides
1/(3a-2) = b/a
b = a/(3a-2)
