Algebra Examples

$\frac{\sqrt{3 x^{5}}}{8 x^{2}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Rewrite $3 x^{5}$ as ${(x^{2})}^{2} \cdot (3 x)$ .

Tap for more steps...

Step 1.1.1

Factor out $x^{4}$ .

$\frac{\sqrt{3 (x^{4} x)}}{8 x^{2}}$

Step 1.1.2

Rewrite $x^{4}$ as ${(x^{2})}^{2}$ .

$\frac{\sqrt{3 ({(x^{2})}^{2} x)}}{8 x^{2}}$

Step 1.1.3

Reorder $3$ and ${(x^{2})}^{2}$ .

$\frac{\sqrt{{(x^{2})}^{2} \cdot 3 x}}{8 x^{2}}$

Step 1.1.4

Add parentheses.

$\frac{\sqrt{{(x^{2})}^{2} \cdot (3 x)}}{8 x^{2}}$

Step 1.2

Pull terms out from under the radical.

$\frac{x^{2} \sqrt{3 x}}{8 x^{2}}$

Step 2

Cancel the common factor of $x^{2}$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{x^{2} \sqrt{3 x}}{8 x^{2}}$

Step 2.2

Rewrite the expression.

$\frac{\sqrt{3 x}}{8}$