Basic Math Examples

$\sqrt{600 x^{4} y}$

Step 1

Rewrite $600 x^{4} y$ as ${(10 x^{2})}^{2} \cdot (6 y)$ .

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Step 1.1

Factor $100$ out of $600$ .

$\sqrt{100 (6) x^{4} y}$

Step 1.2

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2} \cdot 6 x^{4} y}$

Step 1.3

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

$\sqrt{10^{2} \cdot 6 {(x^{2})}^{2} y}$

Step 1.4

Move $6$ .

$\sqrt{10^{2} {(x^{2})}^{2} \cdot 6 y}$

Step 1.5

Rewrite $10^{2} {(x^{2})}^{2}$ as ${(10 x^{2})}^{2}$ .

$\sqrt{{(10 x^{2})}^{2} \cdot 6 y}$

Step 1.6

Add parentheses.

$\sqrt{{(10 x^{2})}^{2} \cdot (6 y)}$

Step 2

Pull terms out from under the radical.

$10 x^{2} \sqrt{6 y}$