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which pair consists of like radicals

a. 2√(x) and √(2x)
b. 4√(x) and 5√(y)
c. x√(5) and y√(5)
d. √(5) and √3:(5)

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1 Answer

 the correct answer is C.
 
   The argument of the radical is 5,
   
   They can be added.
 
      X √( 5) + Y √ ( 5) = ( X +y) √(5)

Comments

Like radicals are the ones that have the same argument( value under the radical) ,and same order of roots,  but different coefficient.

  They are only radicals( irrational numbers that can be added or subtracted)

  i.e.   2√2 + 3√2 = 5 √2

             3 3√3 + 5 3√38 3√8