Linear Algebra Examples

$\sqrt{{(- 4 - 3)}^{2} + (- 3 - 42)}$

Step 1

Remove parentheses.

$\sqrt{{(- 4 - 3)}^{2} - 3 - 42}$

Step 2

Subtract $3$ from $- 4$ .

$\sqrt{{(- 7)}^{2} - 3 - 42}$

Step 3

Raise $- 7$ to the power of $2$ .

$\sqrt{49 - 3 - 42}$

Step 4

Subtract $3$ from $49$ .

$\sqrt{46 - 42}$

Step 5

Subtract $42$ from $46$ .

$\sqrt{4}$

Step 6

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

$\sqrt{2^{2}}$

Step 7

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

$2$