Finite Math Examples

$\sqrt{25 x} + \sqrt{25 y} + \sqrt{16 x}$

Step 1

Simplify each term.

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Step 1.1

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

$\sqrt{5^{2} x} + \sqrt{25 y} + \sqrt{16 x}$

Step 1.2

Pull terms out from under the radical.

$5 \sqrt{x} + \sqrt{25 y} + \sqrt{16 x}$

Step 1.3

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

$5 \sqrt{x} + \sqrt{5^{2} y} + \sqrt{16 x}$

Step 1.4

Pull terms out from under the radical.

$5 \sqrt{x} + 5 \sqrt{y} + \sqrt{16 x}$

Step 1.5

Rewrite $16 x$ as ${(2^{2})}^{2} x$ .

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Step 1.5.1

Rewrite $16$ as $4^{2}$ .

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

Step 1.5.2

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

$5 \sqrt{x} + 5 \sqrt{y} + \sqrt{{(2^{2})}^{2} x}$

$5 \sqrt{x} + 5 \sqrt{y} + \sqrt{{(2^{2})}^{2} x}$

Step 1.6

Pull terms out from under the radical.

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

Step 1.7

Raise $2$ to the power of $2$ .

$5 \sqrt{x} + 5 \sqrt{y} + 4 \sqrt{x}$

$5 \sqrt{x} + 5 \sqrt{y} + 4 \sqrt{x}$

Step 2

Add $5 \sqrt{x}$ and $4 \sqrt{x}$ .

$9 \sqrt{x} + 5 \sqrt{y}$

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