Simplify the Radical Expression 4 square root of 2-10 square root of 2+11 square root of 2-20 square root of 2

$4 \sqrt{2} - 10 \sqrt{2} + 11 \sqrt{2} - 20 \sqrt{2}$

Step 1

Subtract $10 \sqrt{2}$ from $4 \sqrt{2}$ .

$- 6 \sqrt{2} + 11 \sqrt{2} - 20 \sqrt{2}$

Step 2

Add $- 6 \sqrt{2}$ and $11 \sqrt{2}$ .

$5 \sqrt{2} - 20 \sqrt{2}$

Step 3

Subtract $20 \sqrt{2}$ from $5 \sqrt{2}$ .

$- 15 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 15 \sqrt{2}$

Decimal Form:

$- 21.21320343 \dots$