x-16=15

To remove the radical on the left side of the equation, square both sides of the equation.

x-162=152

Multiply the exponents in ((x-16)12)2.

Apply the power rule and multiply exponents, (am)n=amn.

(x-16)12⋅2=152

Cancel the common factor of 2.

Cancel the common factor.

(x-16)12⋅2=152

Rewrite the expression.

(x-16)1=152

(x-16)1=152

(x-16)1=152

Simplify.

x-16=152

Raise 15 to the power of 2.

x-16=225

x-16=225

Add 16 to both sides of the equation.

x=225+16

Add 225 and 16.

x=241

x=241

Evaluate square root of x-16=15