Simplify the Radical Expression 2 square root of 5+5 square root of 5-4 square root of 5

$2 \sqrt{5} + 5 \sqrt{5} - 4 \sqrt{5}$

Step 1

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

$7 \sqrt{5} - 4 \sqrt{5}$

Step 2

Subtract $4 \sqrt{5}$ from $7 \sqrt{5}$ .

$3 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{5}$

Decimal Form:

$6.70820393 \dots$