Trigonometry Examples

$\sqrt{1500^{2} \cdot 1200^{2} - 2 \cdot 1500 \cdot 1200}$

Step 1

Raise $1500$ to the power of $2$ .

$\sqrt{2250000 \cdot 1200^{2} - 2 \cdot 1500 \cdot 1200}$

Step 2

Raise $1200$ to the power of $2$ .

$\sqrt{2250000 \cdot 1440000 - 2 \cdot 1500 \cdot 1200}$

Step 3

Multiply $2250000$ by $1440000$ .

$\sqrt{3240000000000 - 2 \cdot 1500 \cdot 1200}$

Step 4

Multiply $- 2 \cdot 1500 \cdot 1200$ .

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Step 4.1

Multiply $- 2$ by $1500$ .

$\sqrt{3240000000000 - 3000 \cdot 1200}$

Step 4.2

Multiply $- 3000$ by $1200$ .

$\sqrt{3240000000000 - 3600000}$

Step 5

Subtract $3600000$ from $3240000000000$ .

$\sqrt{3239996400000}$

Step 6

Rewrite $3239996400000$ as $600^{2} \cdot 8999990$ .

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Step 6.1

Factor $360000$ out of $3239996400000$ .

$\sqrt{360000 (8999990)}$

Step 6.2

Rewrite $360000$ as $600^{2}$ .

$\sqrt{600^{2} \cdot 8999990}$

Step 7

Pull terms out from under the radical.

$600 \sqrt{8999990}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$600 \sqrt{8999990}$

Decimal Form:

$1799998.99999972$