Question

Simplify the following radical expression

Answer 1

`\boxed{ \tt 2 √(6) - 13 √(3 ) + 4 √(2) }`

or

`\boxed{ \tt \approx - 12.1}`

Explanation:

Simplify:

`= \tt \sqrt{ {2}^(2) * 6} −5 √(12) +4√2−3√3`

`= \tt \: 2 √(6) - 5 √(12) + 4 √(2 ) - 3 √(3)`

`= \tt2 √(6) - \sqrt{ {2}^(2) * 3} + 4 √(2) - 3 √(3)`

`= \tt \: 2√6−5(2√3)+4√2−3√3`

`\tt = 2√6−10√3+4√2−3√3`

`\tt = 2 √(6) - 13 √(3 ) + 4 √(2)`

`\tt \approx \: - 12.1`

`\rule{225pt}{2pt}`

Answer 2

`2√(6) -13√(3) +4√(2)`

Explanation:

`√(24) -5√(12) +4√(2) -3√(3)`

`=√(4* 6) -5√(4* 3) +4√(2) -3√(3)`

`=√(4) * √(6) -5*√(4) * √(3) +4√(2) -3√(3)`

`=2√(6) -5*2√(3) +4√(2) -3√(3)`

`=2√(6) -10√(3) +4√(2) -3√(3)`

`=2√(6) -13√(3) +4√(2)`