Pre-Algebra Examples

$2 \sqrt{3} + - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} + - 3 \sqrt{2}$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$2 \sqrt{3} - 5 \sqrt{2} + 10 \sqrt{3} + 14 \sqrt{2} - 3 \sqrt{2}$

Step 2

Add $2 \sqrt{3}$ and $10 \sqrt{3}$ .

$12 \sqrt{3} - 5 \sqrt{2} + 14 \sqrt{2} - 3 \sqrt{2}$

Step 3

Add $- 5 \sqrt{2}$ and $14 \sqrt{2}$ .

$12 \sqrt{3} + 9 \sqrt{2} - 3 \sqrt{2}$

Step 4

Subtract $3 \sqrt{2}$ from $9 \sqrt{2}$ .

$12 \sqrt{3} + 6 \sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{3} + 6 \sqrt{2}$

Decimal Form:

$29.26989106 \dots$