Finite Math Examples

$\sqrt{252 x \cdot (6 y^{3}) \cdot 35}$

Step 1

Multiply $6$ by $252$ .

$\sqrt{1512 x y^{3} \cdot 35}$

Step 2

Multiply $35$ by $1512$ .

$\sqrt{52920 x y^{3}}$

Step 3

Rewrite $52920 x y^{3}$ as ${(42 y)}^{2} \cdot (30 x y)$ .

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Step 3.1

Factor $1764$ out of $52920$ .

$\sqrt{1764 (30) x y^{3}}$

Step 3.2

Rewrite $1764$ as $42^{2}$ .

$\sqrt{42^{2} \cdot 30 x y^{3}}$

Step 3.3

Factor out $y^{2}$ .

$\sqrt{42^{2} \cdot 30 x (y^{2} y)}$

Step 3.4

Move $x$ .

$\sqrt{42^{2} \cdot 30 y^{2} x y}$

Step 3.5

Move $30$ .

$\sqrt{42^{2} y^{2} \cdot 30 x y}$

Step 3.6

Rewrite $42^{2} y^{2}$ as ${(42 y)}^{2}$ .

$\sqrt{{(42 y)}^{2} \cdot 30 x y}$

Step 3.7

Add parentheses.

$\sqrt{{(42 y)}^{2} \cdot 30 (x y)}$

Step 3.8

Add parentheses.

$\sqrt{{(42 y)}^{2} \cdot (30 x y)}$

$\sqrt{{(42 y)}^{2} \cdot (30 x y)}$

Step 4

Pull terms out from under the radical.

$42 y \sqrt{30 x y}$

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