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

Answer:

8√2

Step-by-step explanation:

Given phrase,

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

$=4\sqrt{2}+7\sqrt{2}-3\sqrt{2}$

$=\sqrt{2}(4+7-3)$

$=\sqrt{2}(11-3)$

$=\sqrt{2}(8)$

∵ Further simplification is not possible,

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