Basic Math Examples

$\frac{144 \sqrt{3204}}{32}$

Step 1

Cancel the common factor of $144$ and $32$ .

Tap for more steps...

Step 1.1

Factor $16$ out of $144 \sqrt{3204}$ .

$\frac{16 (9 \sqrt{3204})}{32}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $16$ out of $32$ .

$\frac{16 (9 \sqrt{3204})}{16 (2)}$

Step 1.2.2

Cancel the common factor.

$\frac{16 (9 \sqrt{3204})}{16 \cdot 2}$

Step 1.2.3

Rewrite the expression.

$\frac{9 \sqrt{3204}}{2}$

$\frac{9 \sqrt{3204}}{2}$

$\frac{9 \sqrt{3204}}{2}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Rewrite $3204$ as $6^{2} \cdot 89$ .

Tap for more steps...

Step 2.1.1

Factor $36$ out of $3204$ .

$\frac{9 \sqrt{36 (89)}}{2}$

Step 2.1.2

Rewrite $36$ as $6^{2}$ .

$\frac{9 \sqrt{6^{2} \cdot 89}}{2}$

$\frac{9 \sqrt{6^{2} \cdot 89}}{2}$

Step 2.2

Pull terms out from under the radical.

$\frac{9 \cdot 6 \sqrt{89}}{2}$

Step 2.3

Multiply $9$ by $6$ .

$\frac{54 \sqrt{89}}{2}$

$\frac{54 \sqrt{89}}{2}$

Step 3

Cancel the common factor of $54$ and $2$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $54 \sqrt{89}$ .

$\frac{2 (27 \sqrt{89})}{2}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $2$ out of $2$ .

$\frac{2 (27 \sqrt{89})}{2 (1)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (27 \sqrt{89})}{2 \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{27 \sqrt{89}}{1}$

Step 3.2.4

Divide $27 \sqrt{89}$ by $1$ .

$27 \sqrt{89}$

$27 \sqrt{89}$

$27 \sqrt{89}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$27 \sqrt{89}$

Decimal Form:

$254.71749056 \dots$

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