Basic Math Examples

$5 \sqrt{5^{2} - 3^{2}} - 2 \cdot (5 \cdot 9) + 9$

Step 1

Simplify each term.

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Step 1.1

Raise $5$ to the power of $2$ .

$5 \sqrt{25 - 3^{2}} - 2 \cdot (5 \cdot 9) + 9$

Step 1.2

Raise $3$ to the power of $2$ .

$5 \sqrt{25 - 1 \cdot 9} - 2 \cdot (5 \cdot 9) + 9$

Step 1.3

Multiply $- 1$ by $9$ .

$5 \sqrt{25 - 9} - 2 \cdot (5 \cdot 9) + 9$

Step 1.4

Subtract $9$ from $25$ .

$5 \sqrt{16} - 2 \cdot (5 \cdot 9) + 9$

Step 1.5

Rewrite $16$ as $4^{2}$ .

$5 \sqrt{4^{2}} - 2 \cdot (5 \cdot 9) + 9$

Step 1.6

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

$5 \cdot 4 - 2 \cdot (5 \cdot 9) + 9$

Step 1.7

Multiply $5$ by $4$ .

$20 - 2 \cdot (5 \cdot 9) + 9$

Step 1.8

Multiply $- 2 (5 \cdot 9)$ .

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Step 1.8.1

Multiply $5$ by $9$ .

$20 - 2 \cdot 45 + 9$

Step 1.8.2

Multiply $- 2$ by $45$ .

$20 - 90 + 9$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $90$ from $20$ .

$- 70 + 9$

Step 2.2

Add $- 70$ and $9$ .

$- 61$