Question

Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2

Answer 1

8√2

Explanation:

Given phrase,

4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2,

`=4√(2)+7√(2)-3√(2)`

`=√(2)(4+7-3)`

`=√(2)(11-3)`

`=√(2)(8)`

∵ Further simplification is not possible,

Hence, the simplified form of the given expression is 8√2