Simplify 3+ square root of 2-7+3 square root of 2

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

Step 1

Subtract $7$ from $3$ .

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

Step 2

Add $\sqrt{2}$ and $3 \sqrt{2}$ .

$- 4 + 4 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 4 + 4 \sqrt{2}$

Decimal Form:

$1.65685424 \dots$