Finite Math Examples

$3 \cdot \sqrt{40 x^{2 y^{3}}}$

Step 1

Rewrite $40 x^{2 y^{3}}$ as ${(2 x^{y^{3}})}^{2} \cdot 10$ .

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Step 1.1

Factor $4$ out of $40$ .

$3 \cdot \sqrt{4 (10) x^{2 y^{3}}}$

Step 1.2

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

$3 \cdot \sqrt{2^{2} \cdot 10 x^{2 y^{3}}}$

Step 1.3

Rewrite $x^{2 y^{3}}$ as ${(x^{y^{3}})}^{2}$ .

$3 \cdot \sqrt{2^{2} \cdot 10 {(x^{y^{3}})}^{2}}$

Step 1.4

Move $10$ .

$3 \cdot \sqrt{2^{2} {(x^{y^{3}})}^{2} \cdot 10}$

Step 1.5

Rewrite $2^{2} {(x^{y^{3}})}^{2}$ as ${(2 x^{y^{3}})}^{2}$ .

$3 \cdot \sqrt{{(2 x^{y^{3}})}^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$3 \cdot (2 x^{y^{3}} \sqrt{10})$

Step 3

Multiply $2$ by $3$ .

$6 x^{y^{3}} \sqrt{10}$