Algebra Examples

$3^{2} \cdot 2^{3} - 3 \cdot \sqrt{5^{2} + 15 (3 + 2)}$

Step 1

Simplify each term.

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Step 1.1

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

$9 \cdot 2^{3} - 3 \cdot \sqrt{5^{2} + 15 (3 + 2)}$

Step 1.2

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

$9 \cdot 8 - 3 \cdot \sqrt{5^{2} + 15 (3 + 2)}$

Step 1.3

Multiply $9$ by $8$ .

$72 - 3 \cdot \sqrt{5^{2} + 15 (3 + 2)}$

Step 1.4

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

$72 - 3 \cdot \sqrt{25 + 15 (3 + 2)}$

Step 1.5

Add $3$ and $2$ .

$72 - 3 \cdot \sqrt{25 + 15 \cdot 5}$

Step 1.6

Multiply $15$ by $5$ .

$72 - 3 \cdot \sqrt{25 + 75}$

Step 1.7

Add $25$ and $75$ .

$72 - 3 \cdot \sqrt{100}$

Step 1.8

Rewrite $100$ as $10^{2}$ .

$72 - 3 \cdot \sqrt{10^{2}}$

Step 1.9

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

$72 - 3 \cdot 10$

Step 1.10

Multiply $- 3$ by $10$ .

$72 - 30$

Step 2

Subtract $30$ from $72$ .

$42$