Algebra Examples

$\frac{3}{2} ((58 - 10^{2}) \div (\sqrt{16} + 3))$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Raise $10$ to the power of $2$ .

$\frac{3}{2} \cdot (58 - 1 \cdot 100) \div (\sqrt{16} + 3)$

Step 1.2

Multiply $- 1$ by $100$ .

$\frac{3}{2} \cdot (58 - 100) \div (\sqrt{16} + 3)$

Step 1.3

Subtract $100$ from $58$ .

$\frac{3}{2} \cdot - 42 \div (\sqrt{16} + 3)$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

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

$\frac{3}{2} \cdot - 42 \div (\sqrt{4^{2}} + 3)$

Step 2.2

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

$\frac{3}{2} \cdot - 42 \div (4 + 3)$

Step 2.3

Add $4$ and $3$ .

$\frac{3}{2} \cdot - 42 \div 7$

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Divide $- 42$ by $7$ .

$\frac{3}{2} \cdot - 6$

Step 3.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1

Factor $2$ out of $- 6$ .

$\frac{3}{2} \cdot (2 (- 3))$

Step 3.2.2

Cancel the common factor.

$\frac{3}{2} \cdot (2 \cdot - 3)$

Step 3.2.3

Rewrite the expression.

$3 \cdot - 3$

Step 3.3

Multiply $3$ by $- 3$ .

$- 9$