Simplify square root of 5+ square root of 3-4 square root of 5- square root of 3

$\sqrt{5} + \sqrt{3} - 4 \sqrt{5} - \sqrt{3}$

Step 1

Subtract $4 \sqrt{5}$ from $\sqrt{5}$ .

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

Step 2

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

$- 3 \sqrt{5} + 0$

Step 3

Add $- 3 \sqrt{5}$ and $0$ .

$- 3 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 3 \sqrt{5}$

Decimal Form:

$- 6.70820393 \dots$