Simplify square root of 3-5 square root of 7+7 square root of 3-3 square root of 7

$\sqrt{3} - 5 \sqrt{7} + 7 \sqrt{3} - 3 \sqrt{7}$

Step 1

Add $\sqrt{3}$ and $7 \sqrt{3}$ .

$8 \sqrt{3} - 5 \sqrt{7} - 3 \sqrt{7}$

Step 2

Subtract $3 \sqrt{7}$ from $- 5 \sqrt{7}$ .

$8 \sqrt{3} - 8 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{3} - 8 \sqrt{7}$

Decimal Form:

$- 7.30960402 \dots$