Give answer in simplest radical form

Question

give answer in simplest radical form 

 

5x^2-3=0

Answer 1

5x² - 3 = 0

 

 

Add 3 on both sides of equation.

 

5x² = 3

 

 

Divide by 5 on both sides of equation.

 

x² = 3/5

 

 

Square-root both sides of equation.

 

x = √(3/5)

 

x = √(3) / √(5)       according to the rules of radicals.

 

 

Rationalize the denominator.  This means that we have no radicals in the denominator.  Multiply the value of x by √(5) / √(5).  This is the same as multiplying the value of x by 1.

 

(√(3) √(5)) / (√(5) √(5)) =

 

√(15) / 5

 

 

x = √(15) / 5

 

Answer 2

5x^2-3=0    (Add three to both sides of the equation.)

 

5x^2 = 3     (Divide both sides of the equation by 5.)

 

x^2  =  3/5   (Take the positive and negative square root of both sides.)

 

 

x =  + ((3/5)^(0.5))    and   x =  - ((3/5)^(0.5))