Question

2 square root 3 multiplied by 3 square root 8

Answer 1

Explanation:

12 root 6 is the answer because the 3 root 8 can be simplified to 6 root 2, so you when you multiply 2 root 3 with 3 root 8, you get 12 root 6.

Answer 2

`12√(6)`

Explanation:

Given expression:

`2 √(3) \cdot 3 √(8)`

Multiply the numbers 2 and 3:

`\implies 6√(3)√(8)`

`\textsf{Apply radical rule} \quad √(a)√(b)=√(ab):`

`\implies 6√(3 \cdot 8)`

Simplify:

`\implies 6√(24)`

Rewrite 24 as 4 · 6:

`\implies 6√(4 \cdot 6)`

`\textsf{Apply radical rule} \quad √(ab)=√(a)√(b):`

`\implies 6√(4)√(6)`

Rewrite 4 as 2²:

`\implies 6√(2^2)√(6)`

`\textsf{Apply radical rule} \quad √(a^2)=a, \quad a \geq 0:`

`\implies 6 \cdot 2 √(6)`

Multiply the numbers 6 and 2:

`\implies 12 √(6)`