Question

Multiply and simplify completely

√6 x 3√54

Answer 1

54

Explanation:

using the rule of radicals

`√(ab)` =
`√(a)` ×
`√(b)` and
`√(a)` ×
`√(a)` = a , then

`√(6)` × 3
`√(54)`

=
`√(6)` × 3 ×
`√(9(6))`

=
`√(6)` × 3 ×
`√(9)` ×
`√(6)`

=
`√(6)` ×
`√(6)` × 3 × 3

= 6 × 9

= 54

Answer 2

`{ \qquad\qquad\huge\underline{\boxed{\sf Answer}}}`

Here's the solution ~

`\qquad \sf  \dashrightarrow \: √(6) * 3 √(54)`

`\qquad \sf  \dashrightarrow \: √(2 * 3) * \sqrt{2 * {3}^(3) }`

`\qquad \sf  \dashrightarrow \: \sqrt{ {2}^(2) * {3}^(4) }`

`\qquad \sf  \dashrightarrow \:2 * {3}^(2)`

`\qquad \sf  \dashrightarrow \:2 * 9`

`\qquad \sf  \dashrightarrow \:18`