Algebra Examples

$(2 \sqrt{4}) (- \sqrt{9}) (2 \sqrt{25})$

Step 1

Rewrite $4$ as $2^{2}$ .

$2 \sqrt{2^{2}} (- \sqrt{9}) (2 \sqrt{25})$

Step 2

Pull terms out from under the radical, assuming positive real numbers.

$2 \cdot 2 (- \sqrt{9}) (2 \sqrt{25})$

Step 3

Multiply $2$ by $2$ .

$4 (- \sqrt{9}) (2 \sqrt{25})$

Step 4

Rewrite $9$ as $3^{2}$ .

$4 (- \sqrt{3^{2}}) (2 \sqrt{25})$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$4 (- 1 \cdot 3) (2 \sqrt{25})$

Step 6

Multiply $4 (- 1 \cdot 3)$ .

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Step 6.1

Multiply $- 1$ by $3$ .

$4 \cdot - 3 (2 \sqrt{25})$

Step 6.2

Multiply $4$ by $- 3$ .

$- 12 (2 \sqrt{25})$

Step 7

Rewrite $25$ as $5^{2}$ .

$- 12 (2 \sqrt{5^{2}})$

Step 8

Pull terms out from under the radical, assuming positive real numbers.

$- 12 (2 \cdot 5)$

Step 9

Multiply $- 12 (2 \cdot 5)$ .

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Step 9.1

Multiply $2$ by $5$ .

$- 12 \cdot 10$

Step 9.2

Multiply $- 12$ by $10$ .

$- 120$