Write in Standard Form square root of a(2a^2-4/a)

$\sqrt{a} (2 a^{2} - \frac{4}{a})$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Apply the distributive property.

$\sqrt{a} (2 a^{2}) + \sqrt{a} (- \frac{4}{a})$

Step 3

Reorder.

Rewrite using the commutative property of multiplication.

$2 \sqrt{a} a^{2} + \sqrt{a} (- \frac{4}{a})$

Rewrite using the commutative property of multiplication.

$2 \sqrt{a} a^{2} - \sqrt{a} \frac{4}{a}$

Step 4

Combine $\frac{4}{a}$ and $\sqrt{a}$ .

$2 \sqrt{a} a^{2} - \frac{4 \sqrt{a}}{a}$