Basic Math Examples

${(100 - 102)}^{2} + \sqrt{4^{2} + 3^{2}}$

Step 1

Simplify each term.

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Step 1.1

Subtract $102$ from $100$ .

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

Step 1.2

Raise $- 2$ to the power of $2$ .

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

Step 1.3

Raise $4$ to the power of $2$ .

$4 + \sqrt{16 + 3^{2}}$

Step 1.4

Raise $3$ to the power of $2$ .

$4 + \sqrt{16 + 9}$

Step 1.5

Add $16$ and $9$ .

$4 + \sqrt{25}$

Step 1.6

Rewrite $25$ as $5^{2}$ .

$4 + \sqrt{5^{2}}$

Step 1.7

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

$4 + 5$

Step 2

Add $4$ and $5$ .

$9$