Basic Math Examples

$\frac{3}{2} \cdot \sqrt{90}$

Step 1

Rewrite $90$ as $3^{2} \cdot 10$ .

Tap for more steps...

Step 1.1

Factor $9$ out of $90$ .

$\frac{3}{2} \cdot \sqrt{9 (10)}$

Step 1.2

Rewrite $9$ as $3^{2}$ .

$\frac{3}{2} \cdot \sqrt{3^{2} \cdot 10}$

$\frac{3}{2} \cdot \sqrt{3^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$\frac{3}{2} \cdot (3 \sqrt{10})$

Step 3

Multiply $\frac{3}{2} (3 \sqrt{10})$ .

Tap for more steps...

Step 3.1

Combine $3$ and $\frac{3}{2}$ .

$\frac{3 \cdot 3}{2} \sqrt{10}$

Step 3.2

Multiply $3$ by $3$ .

$\frac{9}{2} \sqrt{10}$

Step 3.3

Combine $\frac{9}{2}$ and $\sqrt{10}$ .

$\frac{9 \sqrt{10}}{2}$

$\frac{9 \sqrt{10}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9 \sqrt{10}}{2}$

Decimal Form:

$14.23024947 \dots$

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