Pre-Algebra Examples

$\sqrt{6 (17 - 7) \cdot 17 + 7 \div 7}$

Step 1

Subtract $7$ from $17$ .

$\sqrt{6 \cdot 10 \cdot 17 + 7 \div 7}$

Step 2

Multiply $6 \cdot 10 \cdot 17$ .

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Step 2.1

Multiply $6$ by $10$ .

$\sqrt{60 \cdot 17 + 7 \div 7}$

Step 2.2

Multiply $60$ by $17$ .

$\sqrt{1020 + 7 \div 7}$

Step 3

To write $1020$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\sqrt{1020 \cdot \frac{7}{7} + 7 \div 7}$

Step 4

Combine $1020$ and $\frac{7}{7}$ .

$\sqrt{\frac{1020 \cdot 7}{7} + 7 \div 7}$

Step 5

Combine the numerators over the common denominator.

$\sqrt{\frac{1020 \cdot 7 + 7}{7}}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $1020$ by $7$ .

$\sqrt{\frac{7140 + 7}{7}}$

Step 6.2

Add $7140$ and $7$ .

$\sqrt{\frac{7147}{7}}$

Step 7

Divide $7147$ by $7$ .

$\sqrt{1021}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\sqrt{1021}$

Decimal Form:

$31.95309061 \dots$