Question

Solve 1w^2-54=0 by using the square root method.

Answer 1

Step 1: Isolate w^2:

w^2 = 54

Step 2: Apply the sq. rt. property:

w = ± sqrt(54)

Step 3: Simplify the sqrt:

w = ± sqrt(9 · 6)

w = ± sqrt(9) · sqrt(6)

w = ± 3 sqrt(6)

Step 4: Approximate:

w ≈ ± 7.3