Solve sqrt{1-(n-2)}=2

$$\sqrt { 1 - ( n - 2 ) } = 2$$

Solve for n

$$n=-1$$

Steps for Solving Radical Equations

To find the opposite of n-2, find the opposite of each term.

$$\sqrt{1-n-\left(-2\right)}=2$$

The opposite of -2 is 2.

$$\sqrt{1-n+2}=2$$

Add 1 and 2 to get 3.

$$\sqrt{3-n}=2$$

Square both sides of the equation.

$$-n+3=4$$

Subtract 3 from both sides of the equation.

$$-n+3-3=4-3$$

Subtracting 3 from itself leaves 0.

$$-n=4-3$$

Subtract 3 from 4.

$$-n=1$$

Divide both sides by -1.

$$\frac{-n}{-1}=\frac{1}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$n=\frac{1}{-1}$$

Divide 1 by -1.

$$n=-1$$