Solve the equation. Express radicals in simplest form

Question

A) m^2-75=0             B) 3t^2=21

Answer 1

A)

 

m² - 75 = 0

 

 

Add 7 on both sides of equation.

 

m² = 75

 

 

Now we square-root both sides of equation.

 

m = ±√(75)

 

m = ±√(25)√(3)

 

m = ±5√3

 

m = -5√3               and              m = 5√3

 

 

B)

 

3t² = 21

 

 

Divide both sides of equation by 3.

 

t² = 7

 

 

Square-root both sides of equation.

 

t = ±√7

 

t = -√7               and              t = √7