Simplify 10-2 square root of 5+5 square root of 5-5

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

Step 1

Subtract $5$ from $10$ .

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

Step 2

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

$5 + 3 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$5 + 3 \sqrt{5}$

Decimal Form:

$11.70820393 \dots$