Simplify 3 square root of 10+7 square root of 15-6 square root of 10-4 square root of 15

$3 \sqrt{10} + 7 \sqrt{15} - 6 \sqrt{10} - 4 \sqrt{15}$

Subtract $6 \sqrt{10}$ from $3 \sqrt{10}$ .

$- 3 \sqrt{10} + 7 \sqrt{15} - 4 \sqrt{15}$

Subtract $4 \sqrt{15}$ from $7 \sqrt{15}$ .

$- 3 \sqrt{10} + 3 \sqrt{15}$

The result can be shown in multiple forms.

Exact Form:

$- 3 \sqrt{10} + 3 \sqrt{15}$

Decimal Form:

$2.13211705 \dots$