Step-by-step explanation:
Radical already isolated
√163 = x
Raise both sides to the second power
(√163)2 = (x)2
After squaring
163 = x2 Rearranged equation
x2 -163 = 0
This equation has two real roots:
x1 = ( 0 + sqrt(652) ) / 2 = 12.7671
x2 = ( 0 - sqrt(652) ) / 2 = -12.7671 Original equation
√163 = x
Plug in 12.7671 for x
√163 = (12.7671)
Simplify
√163 = 12.767
Solution checks !!
Solution is:
x = 12.7671 Original equation
√163 = x
Plug in -12.7671 for x
√163 = (-12.7671)
Simplify
√163 = -12.767
Solution does not check
12.767 ≠ -12.767
