Question

2root 3 x 3 root 8 fully simplified

Answer 1

12√6

Explanation:

⇒ 2√3 × 3√8

⇒ 2 × 3 × √3 × √8

⇒ 6 × √( 3 × 8 )

⇒ 6 × √24

⇒ 6 × 2√6

12√6

Answer 2

• 
  `12√(6)`

Explanation:

Given expression

• 
  `2 √(3) *3√(8)`

Simplify the expression in steps as below

• 
  `2 √(3) *3√(8) =`
• 
  `2 √(3) *3√(2^2*2) =`
• 
  `2 √(3) *3*2√(2) =`
• 
  `2*6* √(3) *√(2) =`
• 
  `12* √(3*2) =`
• 
  `12√(6)`

Used properties in solution process:

• 
  `√(a^2) =a`
• 
  `√(a)√(b) =√(ab)`