15 square root of 2=5 square root of t

Question

simple radical equations

Answer 1

15√2 = 5√t

 

3√2 = √t     (divide both sides by 5)

 

(3√2)²=(√t)²  (square both sides of the equation to solve for t)

 

9(2)=t       [because 3²=9 and (√2)²=2]

 

18=t

 

CHECK:

 

15√2=5√18 (?)

 

15√2=5√[(9)(2)]  (?)

 

15√2=5(3)√2   (?)

 

15√2=15√2