Algebra Examples

$10 \sqrt{11} (4 \sqrt{6} + 7)$

Step 1

Apply the distributive property.

$10 \sqrt{11} (4 \sqrt{6}) + 10 \sqrt{11} \cdot 7$

Step 2

Multiply $10 \sqrt{11} (4 \sqrt{6})$ .

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Step 2.1

Multiply $4$ by $10$ .

$40 \sqrt{11} \sqrt{6} + 10 \sqrt{11} \cdot 7$

Step 2.2

Combine using the product rule for radicals.

$40 \sqrt{6 \cdot 11} + 10 \sqrt{11} \cdot 7$

Step 2.3

Multiply $6$ by $11$ .

$40 \sqrt{66} + 10 \sqrt{11} \cdot 7$

Step 3

Multiply $7$ by $10$ .

$40 \sqrt{66} + 70 \sqrt{11}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$40 \sqrt{66} + 70 \sqrt{11}$

Decimal Form:

$557.12527151 \dots$