Question 72199
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Problem#4
directions: Perform the indicated multiplication. Then simplify each radical expression. 
sqrt3 Multiplied by sqrt 5 

Answer:

  {{{sqrt(3)}}} * {{{sqrt (5)}}}

  {{{sqrt (3*5)}}}

  {{{sqrt (15)}}}

Problem#28
directions: Perform the indicated multiplication. Then simplify each radical expression. 
sqrt7 (2sqrt3 + 3 sqrt7) 

Answer:
          
    {{{sqrt(7) (2(sqrt(3)) + 3(sqrt(7)))}}}

    {{{sqrt(7)* 2(sqrt(3))}}} + {{{sqrt(7)* 3(sqrt(7))}}}

    {{{2(sqrt (7*3))}}} + {{{3(sqrt(7*7))}}}

    {{{2(sqrt(21))}}} + 3 * 7

    {{{2(sqrt(21))}}} + 21  


Problem#50
Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression. 
(18+sqrt567)/(9)


Answer:

   {{{(18+ sqrt(567))/(9)}}}

   {{{(18 + sqrt (81*7))/9}}}
  
   {{{(18 + 9(sqrt(7)))/9}}}

   {{{9 (2 + sqrt(7))}}}
   ____________
        9

   {{{(2 + sqrt(7))}}}