Basic Math Examples

$\sqrt{{(- 144)}^{2} - 4 \cdot 16 \cdot 288}$

Step 1

Raise $- 144$ to the power of $2$ .

$\sqrt{20736 - 4 \cdot 16 \cdot 288}$

Step 2

Multiply $- 4 \cdot 16 \cdot 288$ .

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Step 2.1

Multiply $- 4$ by $16$ .

$\sqrt{20736 - 64 \cdot 288}$

Step 2.2

Multiply $- 64$ by $288$ .

$\sqrt{20736 - 18432}$

Step 3

Subtract $18432$ from $20736$ .

$\sqrt{2304}$

Step 4

Rewrite $2304$ as $48^{2}$ .

$\sqrt{48^{2}}$

Step 5

Pull terms out from under the radical, assuming positive real numbers.

$48$