Algebra Examples

- \sqrt{600}

$- \sqrt{600}$

Step 1

Rewrite

600

$600$ as

10^{2} \cdot 6

$10^{2} \cdot 6$ .

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Step 1.1

Factor

100

$100$ out of

600

$600$ .

- \sqrt{100 (6)}

$- \sqrt{100 (6)}$

Step 1.2

Rewrite

100

$100$ as

10^{2}

$10^{2}$ .

- \sqrt{10^{2} \cdot 6}

$- \sqrt{10^{2} \cdot 6}$

- \sqrt{10^{2} \cdot 6}

$- \sqrt{10^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

- (10 \sqrt{6})

$- (10 \sqrt{6})$

Step 3

Multiply

10

$10$ by

- 1

$- 1$ .

- 10 \sqrt{6}

$- 10 \sqrt{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- 10 \sqrt{6}

$- 10 \sqrt{6}$

Decimal Form:

- 24.49489742 \dots

$- 24.49489742 \dots$

- \sqrt[]{600}

$- \sqrt[]{600}$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$