Basic Math Examples

$(5 \sqrt{16} - 3) (2 \sqrt{10} + 2)$

Step 1

Simplify each term.

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Step 1.1

Rewrite $16$ as $4^{2}$ .

$(5 \sqrt{4^{2}} - 3) (2 \sqrt{10} + 2)$

Step 1.2

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

$(5 \cdot 4 - 3) (2 \sqrt{10} + 2)$

Step 1.3

Multiply $5$ by $4$ .

$(20 - 3) (2 \sqrt{10} + 2)$

Step 2

Simplify by multiplying through.

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Step 2.1

Subtract $3$ from $20$ .

$17 (2 \sqrt{10} + 2)$

Step 2.2

Apply the distributive property.

$17 (2 \sqrt{10}) + 17 \cdot 2$

Step 2.3

Multiply.

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Step 2.3.1

Multiply $2$ by $17$ .

$34 \sqrt{10} + 17 \cdot 2$

Step 2.3.2

Multiply $17$ by $2$ .

$34 \sqrt{10} + 34$

Step 3

The result can be shown in multiple forms.

Exact Form:

$34 \sqrt{10} + 34$

Decimal Form:

$141.51744044 \dots$