Basic Math Examples

$(\sqrt{4} - 5) (\sqrt{4} + 5)$

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

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

Step 2

Subtract $5$ from $2$ .

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

Step 3

Simplify each term.

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Step 3.1

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

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

Step 3.2

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

$- 3 (2 + 5)$

Step 4

Simplify the expression.

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Step 4.1

Add $2$ and $5$ .

$- 3 \cdot 7$

Step 4.2

Multiply $- 3$ by $7$ .

$- 21$