Algebra Examples

$\sqrt{9} + \sqrt{24}$

Step 1

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}} + \sqrt{24}$

Step 2

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

$3 + \sqrt{24}$

Step 3

Rewrite $24$ as $2^{2} \cdot 6$ .

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Step 3.1

Factor $4$ out of $24$ .

$3 + \sqrt{4 (6)}$

Step 3.2

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

$3 + \sqrt{2^{2} \cdot 6}$

Step 4

Pull terms out from under the radical.

$3 + 2 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3 + 2 \sqrt{6}$

Decimal Form:

$7.89897948 \dots$