Finite Math Examples

$(9 \sqrt{10 + 2 \sqrt{5}}) (2 \sqrt{1 o - 7 \sqrt{5} \cdot 0})$

Step 1

Multiply $o$ by $1$ .

$9 \sqrt{10 + 2 \sqrt{5}} (2 \sqrt{o - 7 \sqrt{5} \cdot 0})$

Step 2

Multiply $- 7 \sqrt{5} \cdot 0$ .

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Step 2.1

Multiply $0$ by $- 7$ .

$9 \sqrt{10 + 2 \sqrt{5}} (2 \sqrt{o + 0 \sqrt{5}})$

Step 2.2

Multiply $0$ by $\sqrt{5}$ .

$9 \sqrt{10 + 2 \sqrt{5}} (2 \sqrt{o + 0})$

Step 3

Add $o$ and $0$ .

$9 \sqrt{10 + 2 \sqrt{5}} (2 \sqrt{o})$

Step 4

Multiply $9 \sqrt{10 + 2 \sqrt{5}} (2 \sqrt{o})$ .

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Step 4.1

Multiply $2$ by $9$ .

$18 \sqrt{10 + 2 \sqrt{5}} \sqrt{o}$

Step 4.2

Combine using the product rule for radicals.

$18 \sqrt{o (10 + 2 \sqrt{5})}$