Algebra Examples

$\frac{3 \sqrt{49} + {(1 - 5)}^{2}}{3 \cdot 4 \div 4 + 3}$

Step 1

Cancel the common factor of $4$ .

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Step 1.1

Cancel the common factor.

$\frac{3 \sqrt{49} + {(1 - 5)}^{2}}{3 \cdot 4 \div 4 + 3}$

Step 1.2

Divide $3$ by $1$ .

$\frac{3 \sqrt{49} + {(1 - 5)}^{2}}{3 + 3}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $49$ as $7^{2}$ .

$\frac{3 \sqrt{7^{2}} + {(1 - 5)}^{2}}{3 + 3}$

Step 2.2

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

$\frac{3 \cdot 7 + {(1 - 5)}^{2}}{3 + 3}$

Step 2.3

Multiply $3$ by $7$ .

$\frac{21 + {(1 - 5)}^{2}}{3 + 3}$

Step 2.4

Subtract $5$ from $1$ .

$\frac{21 + {(- 4)}^{2}}{3 + 3}$

Step 2.5

Raise $- 4$ to the power of $2$ .

$\frac{21 + 16}{3 + 3}$

Step 2.6

Add $21$ and $16$ .

$\frac{37}{3 + 3}$

Step 3

Add $3$ and $3$ .

$\frac{37}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{6}$

Decimal Form:

$6.1\overline{6}$

Mixed Number Form:

$6 \frac{1}{6}$