Algebra Examples

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

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

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

Step 2

Simplify the expression.

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Step 2.1

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

$\sqrt{9 - 4^{2}}$

Step 2.2

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

$\sqrt{9 - 1 \cdot 16}$

Step 2.3

Multiply $- 1$ by $16$ .

$\sqrt{9 - 16}$

Step 2.4

Subtract $16$ from $9$ .

$\sqrt{- 7}$

Step 3

Rewrite $- 7$ as $- 1 (7)$ .

$\sqrt{- 1 (7)}$

Step 4

Rewrite $\sqrt{- 1 (7)}$ as $\sqrt{- 1} \cdot \sqrt{7}$ .

$\sqrt{- 1} \cdot \sqrt{7}$

Step 5

Rewrite $\sqrt{- 1}$ as $i$ .

$i \sqrt{7}$