Basic Math Examples

4 \sqrt{4} - 3 + \sqrt{2}

$4 \sqrt{4} - 3 + \sqrt{2}$

Step 1

Simplify each term.

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Step 1.1

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

4 \sqrt{2^{2}} - 3 + \sqrt{2}

$4 \sqrt{2^{2}} - 3 + \sqrt{2}$

Step 1.2

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

4 \cdot 2 - 3 + \sqrt{2}

$4 \cdot 2 - 3 + \sqrt{2}$

Step 1.3

Multiply

4

$4$ by

2

$2$ .

8 - 3 + \sqrt{2}

$8 - 3 + \sqrt{2}$

8 - 3 + \sqrt{2}

$8 - 3 + \sqrt{2}$

Step 2

Subtract

3

$3$ from

8

$8$ .

5 + \sqrt{2}

$5 + \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

5 + \sqrt{2}

$5 + \sqrt{2}$

Decimal Form:

6.41421356 \dots

$6.41421356 \dots$