Question

Root 3 + root 27 - 12 upon root 3 + 6 upon root 3​

Answer 1

2√3

Explanation:

Our equation :

• 
  `√(3) + √(27) - (12)/(√(3) ) + (6)/(√(3) )`

Simplifying

• 
  `√(3) + √(9 *3) - (12√(3) )/(√(3)*√(3) ) + (6√(3) )/(√(3)*√(3) )`
• 
  `√(3)+3√(3) - (12√(3) )/(3)+(6√(3) )/(3)`
• 
  `4√(3)-4√(3)+2√(3)`
• 2√3

Answer 2

2√3

Explanation:

root 27

= √27

= 3√3

12 upon root 3

= 12 / √3

= ( 12 / √3 ) x ( √3 / √3 )

= ( 12 x √3 ) / ( √3 x √3 )

= 12√3 / 3

= 4√3

6 upon √3

= 6 / √3

= ( 6 / √3 ) x ( √3 / √3 )

= ( 6 x √3 ) / ( √3 x √3 )

= 6√3 / 3

= 2√3

root 3 = √3

root 3 + root 27 - 12 upon root 3 + 6 upon root 3

= √3 + 3√3 - 4√3 + 2√3

= 4√3 - 4√3 + 2√3

= 2√3