simplifying radicals

Question

i have to match up radicals after simplifying them. 

Answer 1

Example:

 

   √18  + √50  - √98 =

 

 We write each radicand as product of prime factors

 

  √( 2 . 3 ²  ) + √( 2 . 5² ) - √(2 . 7² ) 

 

   Pull out the prime factors of even exponents.

 

    3 √2 + 5 √2 - 7 √2 =√2

     

      Then we add all like radicals with their coefficients:

 

        

Answer 2

Hi Tracey:

 

The square root of 72 can be simplified as follows

 

√72 = √(36*2) = √36*√2 = 6√2

 

I'm not sure how that matches up with your choices, but it's as simple as you can make it.