Answer:√2x/2y
Explanation:
By indices,
√9x²/√18y²
= (√9 × √x²)/ (√18 × √y²)
= (3 × x)/{(√2×9) × y}
= 3x/3√2y
= x/√2y
Rationalizing this,
x/√2y × √2/√2
= √2x/2y.
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