Algebra Examples

$\sqrt{25 x} - \sqrt{4 x} + 2 \sqrt{x}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} x} - \sqrt{4 x} + 2 \sqrt{x}$

Step 1.2

Pull terms out from under the radical.

$5 \sqrt{x} - \sqrt{4 x} + 2 \sqrt{x}$

Step 1.3

Rewrite $4$ as $2^{2}$ .

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

Step 1.4

Pull terms out from under the radical.

$5 \sqrt{x} - (2 \sqrt{x}) + 2 \sqrt{x}$

Step 1.5

Multiply $2$ by $- 1$ .

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

Step 2

Combine the opposite terms in $5 \sqrt{x} - 2 \sqrt{x} + 2 \sqrt{x}$ .

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Step 2.1

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

$5 \sqrt{x} + 0$

Step 2.2

Add $5 \sqrt{x}$ and $0$ .

$5 \sqrt{x}$