Algebra Examples

$\frac{48}{\sqrt{81} - \sqrt{49}}$

Step 1

Simplify the denominator.

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Step 1.1

Rewrite $81$ as $9^{2}$ .

$\frac{48}{\sqrt{9^{2}} - \sqrt{49}}$

Step 1.2

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

$\frac{48}{9 - \sqrt{49}}$

Step 1.3

Rewrite $49$ as $7^{2}$ .

$\frac{48}{9 - \sqrt{7^{2}}}$

Step 1.4

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

$\frac{48}{9 - 1 \cdot 7}$

Step 1.5

Multiply $- 1$ by $7$ .

$\frac{48}{9 - 7}$

Step 1.6

Subtract $7$ from $9$ .

$\frac{48}{2}$

Step 2

Divide $48$ by $2$ .

$24$