Solve equations involving squares and square roots
key notes :
💡Squaring is the inverse of taking the square root.
💡Taking the square root is the inverse of squaring.
Every positive number has both a positive and a negative square root.
If x2 = a , then x =±√a
Learn with an example
Solve for k.
12 = √k
k =?
Solve for k.
√k = 12
(√k)2 = 122 —-> Square both sides
k = 144
The solution is 144.
Solve for z.
z2 = 64
z = ___ or ___
Solve for z.
z2 = 64
z = ±√64 —–> Take the square root of both sides
z = ±8
The solutions are 8 and -8.
Solve for j.
√j = 6
j =
Solve for j.
√j = 6
( √j)2 = 62 Square both sides
j = 36
The solution is 36 .
Let’s practice!
