Calculus Examples

$lim_{x \to 8} \sqrt{x}$

Step 1

Move the limit under the radical sign.

$\sqrt{lim_{x \to 8} x}$

Step 2

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$\sqrt{8}$

Step 3

Simplify the answer.

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Step 3.1

Rewrite $8$ as $2^{2} \cdot 2$ .

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Step 3.1.1

Factor $4$ out of $8$ .

$\sqrt{4 (2)}$

Step 3.1.2

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

$\sqrt{2^{2} \cdot 2}$

Step 3.2

Pull terms out from under the radical.

$2 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{2}$

Decimal Form:

$2.82842712 \dots$