Algebra Examples

$- 2 x^{2} \sqrt{7 x} + \sqrt{7 x^{5}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $7 x^{5}$ as ${(x^{2})}^{2} \cdot (7 x)$ .

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Step 1.1.1

Factor out $x^{4}$ .

$- 2 x^{2} \sqrt{7 x} + \sqrt{7 (x^{4} x)}$

Step 1.1.2

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

$- 2 x^{2} \sqrt{7 x} + \sqrt{7 ({(x^{2})}^{2} x)}$

Step 1.1.3

Reorder $7$ and ${(x^{2})}^{2}$ .

$- 2 x^{2} \sqrt{7 x} + \sqrt{{(x^{2})}^{2} \cdot 7 x}$

Step 1.1.4

Add parentheses.

$- 2 x^{2} \sqrt{7 x} + \sqrt{{(x^{2})}^{2} \cdot (7 x)}$

Step 1.2

Pull terms out from under the radical.

$- 2 x^{2} \sqrt{7 x} + x^{2} \sqrt{7 x}$

Step 2

Add $- 2 x^{2} \sqrt{7 x}$ and $x^{2} \sqrt{7 x}$ .

$- x^{2} \sqrt{7 x}$