Objective: Simplify √(n/18)
Step 1: Take the root of the numerator and the denominator separately.
√(n)/√(18)
Step 2: Simplify the radical in the denominator.
√(n)/√(3² × 2)
√(n)/√(3²) × √(2)
√(n)/3√(2)
Step 3: Rationalize the denominator.
√(n)/3√(2) ×√(2)/√(2)
√(2n)/3√(2) × √(2)
√(2n)/3 × 2
√(2n)/6
Answer:
√(2n)/6 or 1/6√(2n)
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