Basic Math Examples

$\sqrt{72 a} - \sqrt{50 b}$

Step 1

Rewrite $72 a$ as $6^{2} \cdot (2 a)$ .

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Step 1.1

Factor $36$ out of $72$ .

$\sqrt{36 (2) a} - \sqrt{50 b}$

Step 1.2

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2} \cdot 2 a} - \sqrt{50 b}$

Step 1.3

Add parentheses.

$\sqrt{6^{2} \cdot (2 a)} - \sqrt{50 b}$

$\sqrt{6^{2} \cdot (2 a)} - \sqrt{50 b}$

Step 2

Pull terms out from under the radical.

$6 \sqrt{2 a} - \sqrt{50 b}$

Step 3

Rewrite $50 b$ as $5^{2} \cdot (2 b)$ .

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Step 3.1

Factor $25$ out of $50$ .

$6 \sqrt{2 a} - \sqrt{25 (2) b}$

Step 3.2

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

$6 \sqrt{2 a} - \sqrt{5^{2} \cdot 2 b}$

Step 3.3

Add parentheses.

$6 \sqrt{2 a} - \sqrt{5^{2} \cdot (2 b)}$

$6 \sqrt{2 a} - \sqrt{5^{2} \cdot (2 b)}$

Step 4

Pull terms out from under the radical.

$6 \sqrt{2 a} - (5 \sqrt{2 b})$

Step 5

Multiply $5$ by $- 1$ .

$6 \sqrt{2 a} - 5 \sqrt{2 b}$

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