Question

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

2 square root of 8
8 square root of 2
8 square root of 6
6 square root of 8

Answer 1

`4\sqrt2+7\sqrt2-3\sqrt2=(4+7-3)\sqrt2=\boxed{8\sqrt2}\\\\Answer:\ \boxed{\text{8\ square root of 2}}`

Answer 2

8√2

Explanation:

4√2 + 7√2 - 3√2 = (√2)(4 + 7 - 3) = 8√2

Recognize that √2 is a common factor and simply add its coefficients.