Question

8. (02.02 LC)

Simplify √75-4√8-3√32 - (5 points)
O-15√5
O-15√6
O 5√3-20√2
O 5√3+4√2

Answer 1

`5 √(3) - 20 √(2)`

Explanation:

`simpify \\ √(75) - 4 √(8) - 3 √(32) \\ from \: the \: above \: get \: two \: numbers \: \\ such \: that \: when \: multiplied \: gives \\ \: the \: numbers \: inside \: the \: root \\ and \: one \: of \: the \: numers \: should \\ be \: a \: perfect \: square. \\ √(25 * 3) - 4 √(4 * 2) - 3√(16 * 2) \\ 5 √(3) - 4 * 2 √(2) -3 * 4√(2) \\ 5 √(3) - 8 √(2) - 12√(2) \\ 5 √(3) - 20 √(2)`